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Finding the Fourth Proportional to 140,508.16, 193,908.36 and 83,180.38

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Solution

The fourth proportional to 140,508.16, 193,908.36 and 83,180.38 is: 114,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,508.16 : 193,908.36 = 83,180.38 : x
  2. Step 2: Convert to fraction form
    140,508.16/193,908.36 = 83,180.38/x
  3. Step 3: Cross multiply
    140,508.16x = 193,908.36 × 83,180.38
  4. Step 4: Simplify right side
    140,508.16x = 16,129,371,069.98
  5. Step 5: Solve for x
    x = 16,129,371,069.98/140,508.16
  6. Step 6: Final answer
    x = 114,793.13

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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.