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Finding the Fourth Proportional to 128,277, 177,018.96 and 71,688.84

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Solution

The fourth proportional to 128,277, 177,018.96 and 71,688.84 is: 98,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,277 : 177,018.96 = 71,688.84 : x
  2. Step 2: Convert to fraction form
    128,277/177,018.96 = 71,688.84/x
  3. Step 3: Cross multiply
    128,277x = 177,018.96 × 71,688.84
  4. Step 4: Simplify right side
    128,277x = 12,690,283,900.41
  5. Step 5: Solve for x
    x = 12,690,283,900.41/128,277
  6. Step 6: Final answer
    x = 98,928.75

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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.