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Finding the Fourth Proportional to 129,195.72, 178,294.14 and 78,217.80

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Solution

The fourth proportional to 129,195.72, 178,294.14 and 78,217.80 is: 107,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,195.72 : 178,294.14 = 78,217.80 : x
  2. Step 2: Convert to fraction form
    129,195.72/178,294.14 = 78,217.80/x
  3. Step 3: Cross multiply
    129,195.72x = 178,294.14 × 78,217.80
  4. Step 4: Simplify right side
    129,195.72x = 13,945,775,383.69
  5. Step 5: Solve for x
    x = 13,945,775,383.69/129,195.72
  6. Step 6: Final answer
    x = 107,943.01

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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.