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Finding the Fourth Proportional to 140,645.86, 194,091.90 and 76,115.11

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Solution

The fourth proportional to 140,645.86, 194,091.90 and 76,115.11 is: 105,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,645.86 : 194,091.90 = 76,115.11 : x
  2. Step 2: Convert to fraction form
    140,645.86/194,091.90 = 76,115.11/x
  3. Step 3: Cross multiply
    140,645.86x = 194,091.90 × 76,115.11
  4. Step 4: Simplify right side
    140,645.86x = 14,773,325,833.38
  5. Step 5: Solve for x
    x = 14,773,325,833.38/140,645.86
  6. Step 6: Final answer
    x = 105,039.18

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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.