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Finding the Fourth Proportional to 177,306.80, 266,057.40 and 72,201.20

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Solution

The fourth proportional to 177,306.80, 266,057.40 and 72,201.20 is: 108,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,306.80 : 266,057.40 = 72,201.20 : x
  2. Step 2: Convert to fraction form
    177,306.80/266,057.40 = 72,201.20/x
  3. Step 3: Cross multiply
    177,306.80x = 266,057.40 × 72,201.20
  4. Step 4: Simplify right side
    177,306.80x = 19,209,663,548.88
  5. Step 5: Solve for x
    x = 19,209,663,548.88/177,306.80
  6. Step 6: Final answer
    x = 108,341.38

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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.