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Finding the Fourth Proportional to 177,808.20, 266,712.30 and 53,149.20

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Solution

The fourth proportional to 177,808.20, 266,712.30 and 53,149.20 is: 79,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,808.20 : 266,712.30 = 53,149.20 : x
  2. Step 2: Convert to fraction form
    177,808.20/266,712.30 = 53,149.20/x
  3. Step 3: Cross multiply
    177,808.20x = 266,712.30 × 53,149.20
  4. Step 4: Simplify right side
    177,808.20x = 14,175,545,375.16
  5. Step 5: Solve for x
    x = 14,175,545,375.16/177,808.20
  6. Step 6: Final answer
    x = 79,723.80

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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.