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Finding the Fourth Proportional to 128,771.59, 177,704.78 and 71,419.66

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Solution

The fourth proportional to 128,771.59, 177,704.78 and 71,419.66 is: 98,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,771.59 : 177,704.78 = 71,419.66 : x
  2. Step 2: Convert to fraction form
    128,771.59/177,704.78 = 71,419.66/x
  3. Step 3: Cross multiply
    128,771.59x = 177,704.78 × 71,419.66
  4. Step 4: Simplify right side
    128,771.59x = 12,691,614,967.97
  5. Step 5: Solve for x
    x = 12,691,614,967.97/128,771.59
  6. Step 6: Final answer
    x = 98,559.12

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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.