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Finding the Fourth Proportional to 157,761.92, 217,713.12 and 86,143.52

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Solution

The fourth proportional to 157,761.92, 217,713.12 and 86,143.52 is: 118,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,761.92 : 217,713.12 = 86,143.52 : x
  2. Step 2: Convert to fraction form
    157,761.92/217,713.12 = 86,143.52/x
  3. Step 3: Cross multiply
    157,761.92x = 217,713.12 × 86,143.52
  4. Step 4: Simplify right side
    157,761.92x = 18,754,574,506.98
  5. Step 5: Solve for x
    x = 18,754,574,506.98/157,761.92
  6. Step 6: Final answer
    x = 118,878.97

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1.5x scale

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.