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Finding the Fourth Proportional to 148,377.20, 222,565.80 and 133,602.80

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Solution

The fourth proportional to 148,377.20, 222,565.80 and 133,602.80 is: 200,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,377.20 : 222,565.80 = 133,602.80 : x
  2. Step 2: Convert to fraction form
    148,377.20/222,565.80 = 133,602.80/x
  3. Step 3: Cross multiply
    148,377.20x = 222,565.80 × 133,602.80
  4. Step 4: Simplify right side
    148,377.20x = 29,735,414,064.24
  5. Step 5: Solve for x
    x = 29,735,414,064.24/148,377.20
  6. Step 6: Final answer
    x = 200,404.20

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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.