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Finding the Fourth Proportional to 225,380.52, 338,242.17 and 83,360.16

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Solution

The fourth proportional to 225,380.52, 338,242.17 and 83,360.16 is: 125,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,380.52 : 338,242.17 = 83,360.16 : x
  2. Step 2: Convert to fraction form
    225,380.52/338,242.17 = 83,360.16/x
  3. Step 3: Cross multiply
    225,380.52x = 338,242.17 × 83,360.16
  4. Step 4: Simplify right side
    225,380.52x = 28,195,921,409.95
  5. Step 5: Solve for x
    x = 28,195,921,409.95/225,380.52
  6. Step 6: Final answer
    x = 125,103.63

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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.