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Finding the Fourth Proportional to 128,414.16, 177,215.04 and 71,056.44

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Solution

The fourth proportional to 128,414.16, 177,215.04 and 71,056.44 is: 98,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414.16 : 177,215.04 = 71,056.44 : x
  2. Step 2: Convert to fraction form
    128,414.16/177,215.04 = 71,056.44/x
  3. Step 3: Cross multiply
    128,414.16x = 177,215.04 × 71,056.44
  4. Step 4: Simplify right side
    128,414.16x = 12,592,269,856.86
  5. Step 5: Solve for x
    x = 12,592,269,856.86/128,414.16
  6. Step 6: Final answer
    x = 98,059.82

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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.