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Finding the Fourth Proportional to 257,149.30, 385,785.54 and 107,306.24

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Solution

The fourth proportional to 257,149.30, 385,785.54 and 107,306.24 is: 160,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,149.30 : 385,785.54 = 107,306.24 : x
  2. Step 2: Convert to fraction form
    257,149.30/385,785.54 = 107,306.24/x
  3. Step 3: Cross multiply
    257,149.30x = 385,785.54 × 107,306.24
  4. Step 4: Simplify right side
    257,149.30x = 41,397,195,743.77
  5. Step 5: Solve for x
    x = 41,397,195,743.77/257,149.30
  6. Step 6: Final answer
    x = 160,985.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.