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Finding the Fourth Proportional to 129,142.54, 178,218.39 and 78,154.66

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Solution

The fourth proportional to 129,142.54, 178,218.39 and 78,154.66 is: 107,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,142.54 : 178,218.39 = 78,154.66 : x
  2. Step 2: Convert to fraction form
    129,142.54/178,218.39 = 78,154.66/x
  3. Step 3: Cross multiply
    129,142.54x = 178,218.39 × 78,154.66
  4. Step 4: Simplify right side
    129,142.54x = 13,928,597,676.20
  5. Step 5: Solve for x
    x = 13,928,597,676.20/129,142.54
  6. Step 6: Final answer
    x = 107,854.45

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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.