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Finding the Fourth Proportional to 140,193.38, 193,470.93 and 76,535.28

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Solution

The fourth proportional to 140,193.38, 193,470.93 and 76,535.28 is: 105,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,193.38 : 193,470.93 = 76,535.28 : x
  2. Step 2: Convert to fraction form
    140,193.38/193,470.93 = 76,535.28/x
  3. Step 3: Cross multiply
    140,193.38x = 193,470.93 × 76,535.28
  4. Step 4: Simplify right side
    140,193.38x = 14,807,351,799.41
  5. Step 5: Solve for x
    x = 14,807,351,799.41/140,193.38
  6. Step 6: Final answer
    x = 105,620.90

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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.