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Finding the Fourth Proportional to 272,593.87, 409,065.76 and 132,275.95

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Solution

The fourth proportional to 272,593.87, 409,065.76 and 132,275.95 is: 198,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,593.87 : 409,065.76 = 132,275.95 : x
  2. Step 2: Convert to fraction form
    272,593.87/409,065.76 = 132,275.95/x
  3. Step 3: Cross multiply
    272,593.87x = 409,065.76 × 132,275.95
  4. Step 4: Simplify right side
    272,593.87x = 54,109,561,159.15
  5. Step 5: Solve for x
    x = 54,109,561,159.15/272,593.87
  6. Step 6: Final answer
    x = 198,498.82

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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.