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Finding the Fourth Proportional to 361,744.76, 542,694.90 and 121,882.50

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Solution

The fourth proportional to 361,744.76, 542,694.90 and 121,882.50 is: 182,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,744.76 : 542,694.90 = 121,882.50 : x
  2. Step 2: Convert to fraction form
    361,744.76/542,694.90 = 121,882.50/x
  3. Step 3: Cross multiply
    361,744.76x = 542,694.90 × 121,882.50
  4. Step 4: Simplify right side
    361,744.76x = 66,145,011,606.31
  5. Step 5: Solve for x
    x = 66,145,011,606.31/361,744.76
  6. Step 6: Final answer
    x = 182,849.95

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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.