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Finding the Fourth Proportional to 98,101.13, 147,153.07 and 27,980.44

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Solution

The fourth proportional to 98,101.13, 147,153.07 and 27,980.44 is: 41,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,101.13 : 147,153.07 = 27,980.44 : x
  2. Step 2: Convert to fraction form
    98,101.13/147,153.07 = 27,980.44/x
  3. Step 3: Cross multiply
    98,101.13x = 147,153.07 × 27,980.44
  4. Step 4: Simplify right side
    98,101.13x = 4,117,407,313.04
  5. Step 5: Solve for x
    x = 4,117,407,313.04/98,101.13
  6. Step 6: Final answer
    x = 41,971.05

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Double scale
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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.