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Finding the Fourth Proportional to 157,646.96, 217,557.44 and 86,031.61

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Solution

The fourth proportional to 157,646.96, 217,557.44 and 86,031.61 is: 118,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,646.96 : 217,557.44 = 86,031.61 : x
  2. Step 2: Convert to fraction form
    157,646.96/217,557.44 = 86,031.61/x
  3. Step 3: Cross multiply
    157,646.96x = 217,557.44 × 86,031.61
  4. Step 4: Simplify right side
    157,646.96x = 18,716,815,312.73
  5. Step 5: Solve for x
    x = 18,716,815,312.73/157,646.96
  6. Step 6: Final answer
    x = 118,726.14

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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.