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Finding the Fourth Proportional to 98,101.50, 147,153.65 and 27,980.84

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Solution

The fourth proportional to 98,101.50, 147,153.65 and 27,980.84 is: 41,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,101.50 : 147,153.65 = 27,980.84 : x
  2. Step 2: Convert to fraction form
    98,101.50/147,153.65 = 27,980.84/x
  3. Step 3: Cross multiply
    98,101.50x = 147,153.65 × 27,980.84
  4. Step 4: Simplify right side
    98,101.50x = 4,117,481,860.39
  5. Step 5: Solve for x
    x = 4,117,481,860.39/98,101.50
  6. Step 6: Final answer
    x = 41,971.65

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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.