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Finding the Fourth Proportional to 129,195.64, 178,249.91 and 75,441.88

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Solution

The fourth proportional to 129,195.64, 178,249.91 and 75,441.88 is: 104,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,195.64 : 178,249.91 = 75,441.88 : x
  2. Step 2: Convert to fraction form
    129,195.64/178,249.91 = 75,441.88/x
  3. Step 3: Cross multiply
    129,195.64x = 178,249.91 × 75,441.88
  4. Step 4: Simplify right side
    129,195.64x = 13,447,508,320.23
  5. Step 5: Solve for x
    x = 13,447,508,320.23/129,195.64
  6. Step 6: Final answer
    x = 104,086.39

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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.