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Finding the Fourth Proportional to 177,344.80, 266,009.76 and 82,542.38

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Solution

The fourth proportional to 177,344.80, 266,009.76 and 82,542.38 is: 123,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,344.80 : 266,009.76 = 82,542.38 : x
  2. Step 2: Convert to fraction form
    177,344.80/266,009.76 = 82,542.38/x
  3. Step 3: Cross multiply
    177,344.80x = 266,009.76 × 82,542.38
  4. Step 4: Simplify right side
    177,344.80x = 21,957,078,892.07
  5. Step 5: Solve for x
    x = 21,957,078,892.07/177,344.80
  6. Step 6: Final answer
    x = 123,810.11

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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.