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Finding the Fourth Proportional to 140,338.53, 193,612.17 and 86,530.11

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Solution

The fourth proportional to 140,338.53, 193,612.17 and 86,530.11 is: 119,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,338.53 : 193,612.17 = 86,530.11 : x
  2. Step 2: Convert to fraction form
    140,338.53/193,612.17 = 86,530.11/x
  3. Step 3: Cross multiply
    140,338.53x = 193,612.17 × 86,530.11
  4. Step 4: Simplify right side
    140,338.53x = 16,753,282,367.44
  5. Step 5: Solve for x
    x = 16,753,282,367.44/140,338.53
  6. Step 6: Final answer
    x = 119,377.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.