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Finding the Fourth Proportional to 119,700.92, 165,184.52 and 65,984.78

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Solution

The fourth proportional to 119,700.92, 165,184.52 and 65,984.78 is: 91,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,700.92 : 165,184.52 = 65,984.78 : x
  2. Step 2: Convert to fraction form
    119,700.92/165,184.52 = 65,984.78/x
  3. Step 3: Cross multiply
    119,700.92x = 165,184.52 × 65,984.78
  4. Step 4: Simplify right side
    119,700.92x = 10,899,664,211.61
  5. Step 5: Solve for x
    x = 10,899,664,211.61/119,700.92
  6. Step 6: Final answer
    x = 91,057.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.