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Finding the Fourth Proportional to 129,339.92, 178,491.48 and 71,984

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Solution

The fourth proportional to 129,339.92, 178,491.48 and 71,984 is: 99,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,339.92 : 178,491.48 = 71,984 : x
  2. Step 2: Convert to fraction form
    129,339.92/178,491.48 = 71,984/x
  3. Step 3: Cross multiply
    129,339.92x = 178,491.48 × 71,984
  4. Step 4: Simplify right side
    129,339.92x = 12,848,530,696.32
  5. Step 5: Solve for x
    x = 12,848,530,696.32/129,339.92
  6. Step 6: Final answer
    x = 99,339.25

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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.