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Finding the Fourth Proportional to 128,365.28, 177,198 and 78,081.76

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Solution

The fourth proportional to 128,365.28, 177,198 and 78,081.76 is: 107,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,365.28 : 177,198 = 78,081.76 : x
  2. Step 2: Convert to fraction form
    128,365.28/177,198 = 78,081.76/x
  3. Step 3: Cross multiply
    128,365.28x = 177,198 × 78,081.76
  4. Step 4: Simplify right side
    128,365.28x = 13,835,931,708.48
  5. Step 5: Solve for x
    x = 13,835,931,708.48/128,365.28
  6. Step 6: Final answer
    x = 107,785.62

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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.