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Finding the Fourth Proportional to 128,416.38, 177,215.21 and 71,827.75

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Solution

The fourth proportional to 128,416.38, 177,215.21 and 71,827.75 is: 99,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,416.38 : 177,215.21 = 71,827.75 : x
  2. Step 2: Convert to fraction form
    128,416.38/177,215.21 = 71,827.75/x
  3. Step 3: Cross multiply
    128,416.38x = 177,215.21 × 71,827.75
  4. Step 4: Simplify right side
    128,416.38x = 12,728,969,800.08
  5. Step 5: Solve for x
    x = 12,728,969,800.08/128,416.38
  6. Step 6: Final answer
    x = 99,122.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.