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Finding the Fourth Proportional to 128,767.32, 177,717.14 and 71,419.32

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Solution

The fourth proportional to 128,767.32, 177,717.14 and 71,419.32 is: 98,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767.32 : 177,717.14 = 71,419.32 : x
  2. Step 2: Convert to fraction form
    128,767.32/177,717.14 = 71,419.32/x
  3. Step 3: Cross multiply
    128,767.32x = 177,717.14 × 71,419.32
  4. Step 4: Simplify right side
    128,767.32x = 12,692,437,291.14
  5. Step 5: Solve for x
    x = 12,692,437,291.14/128,767.32
  6. Step 6: Final answer
    x = 98,568.78

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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.