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Finding the Fourth Proportional to 270,717.80, 406,076.70 and 83,729.30

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Solution

The fourth proportional to 270,717.80, 406,076.70 and 83,729.30 is: 125,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,717.80 : 406,076.70 = 83,729.30 : x
  2. Step 2: Convert to fraction form
    270,717.80/406,076.70 = 83,729.30/x
  3. Step 3: Cross multiply
    270,717.80x = 406,076.70 × 83,729.30
  4. Step 4: Simplify right side
    270,717.80x = 34,000,517,837.31
  5. Step 5: Solve for x
    x = 34,000,517,837.31/270,717.80
  6. Step 6: Final answer
    x = 125,593.95

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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.