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Finding the Fourth Proportional to 177,608, 266,543.49 and 84,114.02

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Solution

The fourth proportional to 177,608, 266,543.49 and 84,114.02 is: 126,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,608 : 266,543.49 = 84,114.02 : x
  2. Step 2: Convert to fraction form
    177,608/266,543.49 = 84,114.02/x
  3. Step 3: Cross multiply
    177,608x = 266,543.49 × 84,114.02
  4. Step 4: Simplify right side
    177,608x = 22,420,044,448.73
  5. Step 5: Solve for x
    x = 22,420,044,448.73/177,608
  6. Step 6: Final answer
    x = 126,233.30

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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.