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Finding the Fourth Proportional to 133,061.76, 199,687.68 and 98,092.80

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Solution

The fourth proportional to 133,061.76, 199,687.68 and 98,092.80 is: 147,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061.76 : 199,687.68 = 98,092.80 : x
  2. Step 2: Convert to fraction form
    133,061.76/199,687.68 = 98,092.80/x
  3. Step 3: Cross multiply
    133,061.76x = 199,687.68 × 98,092.80
  4. Step 4: Simplify right side
    133,061.76x = 19,587,923,656.70
  5. Step 5: Solve for x
    x = 19,587,923,656.70/133,061.76
  6. Step 6: Final answer
    x = 147,209.26

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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.