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Finding the Fourth Proportional to 126,344.96, 189,510.14 and 76,411.65

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Solution

The fourth proportional to 126,344.96, 189,510.14 and 76,411.65 is: 114,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,344.96 : 189,510.14 = 76,411.65 : x
  2. Step 2: Convert to fraction form
    126,344.96/189,510.14 = 76,411.65/x
  3. Step 3: Cross multiply
    126,344.96x = 189,510.14 × 76,411.65
  4. Step 4: Simplify right side
    126,344.96x = 14,480,781,969.50
  5. Step 5: Solve for x
    x = 14,480,781,969.50/126,344.96
  6. Step 6: Final answer
    x = 114,613.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.