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Finding the Fourth Proportional to 257,686.56, 386,566.29 and 99,930.96

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Solution

The fourth proportional to 257,686.56, 386,566.29 and 99,930.96 is: 149,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,686.56 : 386,566.29 = 99,930.96 : x
  2. Step 2: Convert to fraction form
    257,686.56/386,566.29 = 99,930.96/x
  3. Step 3: Cross multiply
    257,686.56x = 386,566.29 × 99,930.96
  4. Step 4: Simplify right side
    257,686.56x = 38,629,940,463.34
  5. Step 5: Solve for x
    x = 38,629,940,463.34/257,686.56
  6. Step 6: Final answer
    x = 149,910.58

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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.