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Finding the Fourth Proportional to 231,737.50, 319,797.75 and 125,753.50

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Solution

The fourth proportional to 231,737.50, 319,797.75 and 125,753.50 is: 173,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,737.50 : 319,797.75 = 125,753.50 : x
  2. Step 2: Convert to fraction form
    231,737.50/319,797.75 = 125,753.50/x
  3. Step 3: Cross multiply
    231,737.50x = 319,797.75 × 125,753.50
  4. Step 4: Simplify right side
    231,737.50x = 40,215,686,354.63
  5. Step 5: Solve for x
    x = 40,215,686,354.63/231,737.50
  6. Step 6: Final answer
    x = 173,539.83

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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.