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Finding the Fourth Proportional to 128,612.28, 177,425.85 and 83,305.38

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Solution

The fourth proportional to 128,612.28, 177,425.85 and 83,305.38 is: 114,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,612.28 : 177,425.85 = 83,305.38 : x
  2. Step 2: Convert to fraction form
    128,612.28/177,425.85 = 83,305.38/x
  3. Step 3: Cross multiply
    128,612.28x = 177,425.85 × 83,305.38
  4. Step 4: Simplify right side
    128,612.28x = 14,780,527,856.07
  5. Step 5: Solve for x
    x = 14,780,527,856.07/128,612.28
  6. Step 6: Final answer
    x = 114,923.15

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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.