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Finding the Fourth Proportional to 129,286.12, 178,400.34 and 72,696.28

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Solution

The fourth proportional to 129,286.12, 178,400.34 and 72,696.28 is: 100,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,286.12 : 178,400.34 = 72,696.28 : x
  2. Step 2: Convert to fraction form
    129,286.12/178,400.34 = 72,696.28/x
  3. Step 3: Cross multiply
    129,286.12x = 178,400.34 × 72,696.28
  4. Step 4: Simplify right side
    129,286.12x = 12,969,041,068.74
  5. Step 5: Solve for x
    x = 12,969,041,068.74/129,286.12
  6. Step 6: Final answer
    x = 100,312.71

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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.