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Finding the Fourth Proportional to 137,306.40, 205,959.60 and 130,891.20

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Solution

The fourth proportional to 137,306.40, 205,959.60 and 130,891.20 is: 196,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306.40 : 205,959.60 = 130,891.20 : x
  2. Step 2: Convert to fraction form
    137,306.40/205,959.60 = 130,891.20/x
  3. Step 3: Cross multiply
    137,306.40x = 205,959.60 × 130,891.20
  4. Step 4: Simplify right side
    137,306.40x = 26,958,299,195.52
  5. Step 5: Solve for x
    x = 26,958,299,195.52/137,306.40
  6. Step 6: Final answer
    x = 196,336.80

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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.