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Finding the Fourth Proportional to 140,505.38, 193,900.32 and 76,847.30

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Solution

The fourth proportional to 140,505.38, 193,900.32 and 76,847.30 is: 106,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,505.38 : 193,900.32 = 76,847.30 : x
  2. Step 2: Convert to fraction form
    140,505.38/193,900.32 = 76,847.30/x
  3. Step 3: Cross multiply
    140,505.38x = 193,900.32 × 76,847.30
  4. Step 4: Simplify right side
    140,505.38x = 14,900,716,061.14
  5. Step 5: Solve for x
    x = 14,900,716,061.14/140,505.38
  6. Step 6: Final answer
    x = 106,050.86

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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.