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Finding the Fourth Proportional to 272,593.74, 409,065.57 and 132,275.82

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Solution

The fourth proportional to 272,593.74, 409,065.57 and 132,275.82 is: 198,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,593.74 : 409,065.57 = 132,275.82 : x
  2. Step 2: Convert to fraction form
    272,593.74/409,065.57 = 132,275.82/x
  3. Step 3: Cross multiply
    272,593.74x = 409,065.57 × 132,275.82
  4. Step 4: Simplify right side
    272,593.74x = 54,109,483,705.52
  5. Step 5: Solve for x
    x = 54,109,483,705.52/272,593.74
  6. Step 6: Final answer
    x = 198,498.63

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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.