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Finding the Fourth Proportional to 129,160.27, 178,234.32 and 72,568

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Solution

The fourth proportional to 129,160.27, 178,234.32 and 72,568 is: 100,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,160.27 : 178,234.32 = 72,568 : x
  2. Step 2: Convert to fraction form
    129,160.27/178,234.32 = 72,568/x
  3. Step 3: Cross multiply
    129,160.27x = 178,234.32 × 72,568
  4. Step 4: Simplify right side
    129,160.27x = 12,934,108,133.76
  5. Step 5: Solve for x
    x = 12,934,108,133.76/129,160.27
  6. Step 6: Final answer
    x = 100,139.99

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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.