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Finding the Fourth Proportional to 137,712.60, 206,180.10 and 133,824.60

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Solution

The fourth proportional to 137,712.60, 206,180.10 and 133,824.60 is: 200,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.60 : 206,180.10 = 133,824.60 : x
  2. Step 2: Convert to fraction form
    137,712.60/206,180.10 = 133,824.60/x
  3. Step 3: Cross multiply
    137,712.60x = 206,180.10 × 133,824.60
  4. Step 4: Simplify right side
    137,712.60x = 27,591,969,410.46
  5. Step 5: Solve for x
    x = 27,591,969,410.46/137,712.60
  6. Step 6: Final answer
    x = 200,359.08

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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.