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Finding the Fourth Proportional to 140,723.34, 194,189.31 and 77,061.90

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Solution

The fourth proportional to 140,723.34, 194,189.31 and 77,061.90 is: 106,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,723.34 : 194,189.31 = 77,061.90 : x
  2. Step 2: Convert to fraction form
    140,723.34/194,189.31 = 77,061.90/x
  3. Step 3: Cross multiply
    140,723.34x = 194,189.31 × 77,061.90
  4. Step 4: Simplify right side
    140,723.34x = 14,964,597,188.29
  5. Step 5: Solve for x
    x = 14,964,597,188.29/140,723.34
  6. Step 6: Final answer
    x = 106,340.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.