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Finding the Fourth Proportional to 129,282.57, 178,322.24 and 83,879.44

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Solution

The fourth proportional to 129,282.57, 178,322.24 and 83,879.44 is: 115,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,282.57 : 178,322.24 = 83,879.44 : x
  2. Step 2: Convert to fraction form
    129,282.57/178,322.24 = 83,879.44/x
  3. Step 3: Cross multiply
    129,282.57x = 178,322.24 × 83,879.44
  4. Step 4: Simplify right side
    129,282.57x = 14,957,569,394.64
  5. Step 5: Solve for x
    x = 14,957,569,394.64/129,282.57
  6. Step 6: Final answer
    x = 115,696.72

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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.