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Finding the Fourth Proportional to 225,661.86, 338,515.27 and 83,545.13

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Solution

The fourth proportional to 225,661.86, 338,515.27 and 83,545.13 is: 125,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,661.86 : 338,515.27 = 83,545.13 : x
  2. Step 2: Convert to fraction form
    225,661.86/338,515.27 = 83,545.13/x
  3. Step 3: Cross multiply
    225,661.86x = 338,515.27 × 83,545.13
  4. Step 4: Simplify right side
    225,661.86x = 28,281,302,876.56
  5. Step 5: Solve for x
    x = 28,281,302,876.56/225,661.86
  6. Step 6: Final answer
    x = 125,326.02

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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.