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Finding the Fourth Proportional to 98,101.36, 147,153.42 and 27,980.68

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Solution

The fourth proportional to 98,101.36, 147,153.42 and 27,980.68 is: 41,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,101.36 : 147,153.42 = 27,980.68 : x
  2. Step 2: Convert to fraction form
    98,101.36/147,153.42 = 27,980.68/x
  3. Step 3: Cross multiply
    98,101.36x = 147,153.42 × 27,980.68
  4. Step 4: Simplify right side
    98,101.36x = 4,117,452,755.93
  5. Step 5: Solve for x
    x = 4,117,452,755.93/98,101.36
  6. Step 6: Final answer
    x = 41,971.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.