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Finding the Fourth Proportional to 137,855.30, 206,782.95 and 132,023.30

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Solution

The fourth proportional to 137,855.30, 206,782.95 and 132,023.30 is: 198,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,855.30 : 206,782.95 = 132,023.30 : x
  2. Step 2: Convert to fraction form
    137,855.30/206,782.95 = 132,023.30/x
  3. Step 3: Cross multiply
    137,855.30x = 206,782.95 × 132,023.30
  4. Step 4: Simplify right side
    137,855.30x = 27,300,167,442.74
  5. Step 5: Solve for x
    x = 27,300,167,442.74/137,855.30
  6. Step 6: Final answer
    x = 198,034.95

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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.