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Finding the Fourth Proportional to 129,159.27, 178,232.94 and 72,567

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Solution

The fourth proportional to 129,159.27, 178,232.94 and 72,567 is: 100,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,159.27 : 178,232.94 = 72,567 : x
  2. Step 2: Convert to fraction form
    129,159.27/178,232.94 = 72,567/x
  3. Step 3: Cross multiply
    129,159.27x = 178,232.94 × 72,567
  4. Step 4: Simplify right side
    129,159.27x = 12,933,829,756.98
  5. Step 5: Solve for x
    x = 12,933,829,756.98/129,159.27
  6. Step 6: Final answer
    x = 100,138.61

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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.