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Finding the Fourth Proportional to 231,732.30, 347,598.45 and 73,965.90

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Solution

The fourth proportional to 231,732.30, 347,598.45 and 73,965.90 is: 110,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,732.30 : 347,598.45 = 73,965.90 : x
  2. Step 2: Convert to fraction form
    231,732.30/347,598.45 = 73,965.90/x
  3. Step 3: Cross multiply
    231,732.30x = 347,598.45 × 73,965.90
  4. Step 4: Simplify right side
    231,732.30x = 25,710,432,192.86
  5. Step 5: Solve for x
    x = 25,710,432,192.86/231,732.30
  6. Step 6: Final answer
    x = 110,948.85

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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.