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Finding the Fourth Proportional to 177,311.80, 266,064.90 and 72,206.20

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Solution

The fourth proportional to 177,311.80, 266,064.90 and 72,206.20 is: 108,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,311.80 : 266,064.90 = 72,206.20 : x
  2. Step 2: Convert to fraction form
    177,311.80/266,064.90 = 72,206.20/x
  3. Step 3: Cross multiply
    177,311.80x = 266,064.90 × 72,206.20
  4. Step 4: Simplify right side
    177,311.80x = 19,211,535,382.38
  5. Step 5: Solve for x
    x = 19,211,535,382.38/177,311.80
  6. Step 6: Final answer
    x = 108,348.88

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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.