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Finding the Fourth Proportional to 128,286.86, 177,036.17 and 71,698.23

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Solution

The fourth proportional to 128,286.86, 177,036.17 and 71,698.23 is: 98,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,286.86 : 177,036.17 = 71,698.23 : x
  2. Step 2: Convert to fraction form
    128,286.86/177,036.17 = 71,698.23/x
  3. Step 3: Cross multiply
    128,286.86x = 177,036.17 × 71,698.23
  4. Step 4: Simplify right side
    128,286.86x = 12,693,179,676.49
  5. Step 5: Solve for x
    x = 12,693,179,676.49/128,286.86
  6. Step 6: Final answer
    x = 98,943.73

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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.