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Finding the Fourth Proportional to 137,714.80, 206,134.80 and 98,348.80

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Solution

The fourth proportional to 137,714.80, 206,134.80 and 98,348.80 is: 147,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714.80 : 206,134.80 = 98,348.80 : x
  2. Step 2: Convert to fraction form
    137,714.80/206,134.80 = 98,348.80/x
  3. Step 3: Cross multiply
    137,714.80x = 206,134.80 × 98,348.80
  4. Step 4: Simplify right side
    137,714.80x = 20,273,110,218.24
  5. Step 5: Solve for x
    x = 20,273,110,218.24/137,714.80
  6. Step 6: Final answer
    x = 147,210.83

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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.