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Finding the Fourth Proportional to 225,803.52, 338,687.97 and 83,582.04

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Solution

The fourth proportional to 225,803.52, 338,687.97 and 83,582.04 is: 125,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,803.52 : 338,687.97 = 83,582.04 : x
  2. Step 2: Convert to fraction form
    225,803.52/338,687.97 = 83,582.04/x
  3. Step 3: Cross multiply
    225,803.52x = 338,687.97 × 83,582.04
  4. Step 4: Simplify right side
    225,803.52x = 28,308,231,456.06
  5. Step 5: Solve for x
    x = 28,308,231,456.06/225,803.52
  6. Step 6: Final answer
    x = 125,366.65

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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.