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Finding the Fourth Proportional to 140,202.38, 193,456.45 and 82,833.77

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Solution

The fourth proportional to 140,202.38, 193,456.45 and 82,833.77 is: 114,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202.38 : 193,456.45 = 82,833.77 : x
  2. Step 2: Convert to fraction form
    140,202.38/193,456.45 = 82,833.77/x
  3. Step 3: Cross multiply
    140,202.38x = 193,456.45 × 82,833.77
  4. Step 4: Simplify right side
    140,202.38x = 16,024,727,084.32
  5. Step 5: Solve for x
    x = 16,024,727,084.32/140,202.38
  6. Step 6: Final answer
    x = 114,297.11

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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.