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Finding the Fourth Proportional to 128,292.74, 177,040.92 and 71,709.38

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Solution

The fourth proportional to 128,292.74, 177,040.92 and 71,709.38 is: 98,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,292.74 : 177,040.92 = 71,709.38 : x
  2. Step 2: Convert to fraction form
    128,292.74/177,040.92 = 71,709.38/x
  3. Step 3: Cross multiply
    128,292.74x = 177,040.92 × 71,709.38
  4. Step 4: Simplify right side
    128,292.74x = 12,695,494,787.10
  5. Step 5: Solve for x
    x = 12,695,494,787.10/128,292.74
  6. Step 6: Final answer
    x = 98,957.23

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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.