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Finding the Fourth Proportional to 252,105.80, 378,158.70 and 177,456.20

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Solution

The fourth proportional to 252,105.80, 378,158.70 and 177,456.20 is: 266,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,105.80 : 378,158.70 = 177,456.20 : x
  2. Step 2: Convert to fraction form
    252,105.80/378,158.70 = 177,456.20/x
  3. Step 3: Cross multiply
    252,105.80x = 378,158.70 × 177,456.20
  4. Step 4: Simplify right side
    252,105.80x = 67,106,605,898.94
  5. Step 5: Solve for x
    x = 67,106,605,898.94/252,105.80
  6. Step 6: Final answer
    x = 266,184.30

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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.