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Finding the Fourth Proportional to 123,596.74, 185,252.31 and 56,897.02

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Solution

The fourth proportional to 123,596.74, 185,252.31 and 56,897.02 is: 85,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,596.74 : 185,252.31 = 56,897.02 : x
  2. Step 2: Convert to fraction form
    123,596.74/185,252.31 = 56,897.02/x
  3. Step 3: Cross multiply
    123,596.74x = 185,252.31 × 56,897.02
  4. Step 4: Simplify right side
    123,596.74x = 10,540,304,387.12
  5. Step 5: Solve for x
    x = 10,540,304,387.12/123,596.74
  6. Step 6: Final answer
    x = 85,279.79

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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.