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Finding the Fourth Proportional to 129,302.41, 178,520.67 and 83,382.58

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Solution

The fourth proportional to 129,302.41, 178,520.67 and 83,382.58 is: 115,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,302.41 : 178,520.67 = 83,382.58 : x
  2. Step 2: Convert to fraction form
    129,302.41/178,520.67 = 83,382.58/x
  3. Step 3: Cross multiply
    129,302.41x = 178,520.67 × 83,382.58
  4. Step 4: Simplify right side
    129,302.41x = 14,885,513,631.02
  5. Step 5: Solve for x
    x = 14,885,513,631.02/129,302.41
  6. Step 6: Final answer
    x = 115,121.71

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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.