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Finding the Fourth Proportional to 252,542.40, 378,813.60 and 147,307.20

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Solution

The fourth proportional to 252,542.40, 378,813.60 and 147,307.20 is: 220,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,542.40 : 378,813.60 = 147,307.20 : x
  2. Step 2: Convert to fraction form
    252,542.40/378,813.60 = 147,307.20/x
  3. Step 3: Cross multiply
    252,542.40x = 378,813.60 × 147,307.20
  4. Step 4: Simplify right side
    252,542.40x = 55,801,970,737.92
  5. Step 5: Solve for x
    x = 55,801,970,737.92/252,542.40
  6. Step 6: Final answer
    x = 220,960.80

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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.