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Finding the Fourth Proportional to 252,472.40, 378,708.60 and 127,797.20

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Solution

The fourth proportional to 252,472.40, 378,708.60 and 127,797.20 is: 191,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,472.40 : 378,708.60 = 127,797.20 : x
  2. Step 2: Convert to fraction form
    252,472.40/378,708.60 = 127,797.20/x
  3. Step 3: Cross multiply
    252,472.40x = 378,708.60 × 127,797.20
  4. Step 4: Simplify right side
    252,472.40x = 48,397,898,695.92
  5. Step 5: Solve for x
    x = 48,397,898,695.92/252,472.40
  6. Step 6: Final answer
    x = 191,695.80

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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.