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Finding the Fourth Proportional to 110,402.38, 165,600.06 and 65,730.16

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Solution

The fourth proportional to 110,402.38, 165,600.06 and 65,730.16 is: 98,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,402.38 : 165,600.06 = 65,730.16 : x
  2. Step 2: Convert to fraction form
    110,402.38/165,600.06 = 65,730.16/x
  3. Step 3: Cross multiply
    110,402.38x = 165,600.06 × 65,730.16
  4. Step 4: Simplify right side
    110,402.38x = 10,884,918,439.81
  5. Step 5: Solve for x
    x = 10,884,918,439.81/110,402.38
  6. Step 6: Final answer
    x = 98,593.15

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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.