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Finding the Fourth Proportional to 129,213.41, 178,314.51 and 72,624.78

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Solution

The fourth proportional to 129,213.41, 178,314.51 and 72,624.78 is: 100,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,213.41 : 178,314.51 = 72,624.78 : x
  2. Step 2: Convert to fraction form
    129,213.41/178,314.51 = 72,624.78/x
  3. Step 3: Cross multiply
    129,213.41x = 178,314.51 × 72,624.78
  4. Step 4: Simplify right side
    129,213.41x = 12,950,052,059.56
  5. Step 5: Solve for x
    x = 12,950,052,059.56/129,213.41
  6. Step 6: Final answer
    x = 100,222.20

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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.