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Finding the Fourth Proportional to 225,830.38, 338,876.76 and 101,171.38

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Solution

The fourth proportional to 225,830.38, 338,876.76 and 101,171.38 is: 151,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,830.38 : 338,876.76 = 101,171.38 : x
  2. Step 2: Convert to fraction form
    225,830.38/338,876.76 = 101,171.38/x
  3. Step 3: Cross multiply
    225,830.38x = 338,876.76 × 101,171.38
  4. Step 4: Simplify right side
    225,830.38x = 34,284,629,459.13
  5. Step 5: Solve for x
    x = 34,284,629,459.13/225,830.38
  6. Step 6: Final answer
    x = 151,815.84

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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.