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Finding the Fourth Proportional to 237,432.29, 327,658.50 and 140,641.47

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Solution

The fourth proportional to 237,432.29, 327,658.50 and 140,641.47 is: 194,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,432.29 : 327,658.50 = 140,641.47 : x
  2. Step 2: Convert to fraction form
    237,432.29/327,658.50 = 140,641.47/x
  3. Step 3: Cross multiply
    237,432.29x = 327,658.50 × 140,641.47
  4. Step 4: Simplify right side
    237,432.29x = 46,082,373,098.00
  5. Step 5: Solve for x
    x = 46,082,373,098.00/237,432.29
  6. Step 6: Final answer
    x = 194,086.38

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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.