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Finding the Fourth Proportional to 257,587.43, 386,108.44 and 86,646.41

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Solution

The fourth proportional to 257,587.43, 386,108.44 and 86,646.41 is: 129,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,587.43 : 386,108.44 = 86,646.41 : x
  2. Step 2: Convert to fraction form
    257,587.43/386,108.44 = 86,646.41/x
  3. Step 3: Cross multiply
    257,587.43x = 386,108.44 × 86,646.41
  4. Step 4: Simplify right side
    257,587.43x = 33,454,908,049.54
  5. Step 5: Solve for x
    x = 33,454,908,049.54/257,587.43
  6. Step 6: Final answer
    x = 129,877.88

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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.