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Finding the Fourth Proportional to 129,129.39, 178,197.30 and 71,768.84

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Solution

The fourth proportional to 129,129.39, 178,197.30 and 71,768.84 is: 99,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,129.39 : 178,197.30 = 71,768.84 : x
  2. Step 2: Convert to fraction form
    129,129.39/178,197.30 = 71,768.84/x
  3. Step 3: Cross multiply
    129,129.39x = 178,197.30 × 71,768.84
  4. Step 4: Simplify right side
    129,129.39x = 12,789,012,621.15
  5. Step 5: Solve for x
    x = 12,789,012,621.15/129,129.39
  6. Step 6: Final answer
    x = 99,040.29

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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.