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Finding the Fourth Proportional to 132,008.65, 198,002.61 and 37,234.99

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Solution

The fourth proportional to 132,008.65, 198,002.61 and 37,234.99 is: 55,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,008.65 : 198,002.61 = 37,234.99 : x
  2. Step 2: Convert to fraction form
    132,008.65/198,002.61 = 37,234.99/x
  3. Step 3: Cross multiply
    132,008.65x = 198,002.61 × 37,234.99
  4. Step 4: Simplify right side
    132,008.65x = 7,372,625,203.32
  5. Step 5: Solve for x
    x = 7,372,625,203.32/132,008.65
  6. Step 6: Final answer
    x = 55,849.56

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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.