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Finding the Fourth Proportional to 225,419.56, 338,151.89 and 83,302.15

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Solution

The fourth proportional to 225,419.56, 338,151.89 and 83,302.15 is: 124,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,419.56 : 338,151.89 = 83,302.15 : x
  2. Step 2: Convert to fraction form
    225,419.56/338,151.89 = 83,302.15/x
  3. Step 3: Cross multiply
    225,419.56x = 338,151.89 × 83,302.15
  4. Step 4: Simplify right side
    225,419.56x = 28,168,778,275.13
  5. Step 5: Solve for x
    x = 28,168,778,275.13/225,419.56
  6. Step 6: Final answer
    x = 124,961.55

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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.