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Finding the Fourth Proportional to 126,880.63, 175,083.32 and 75,882.83

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Solution

The fourth proportional to 126,880.63, 175,083.32 and 75,882.83 is: 104,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,880.63 : 175,083.32 = 75,882.83 : x
  2. Step 2: Convert to fraction form
    126,880.63/175,083.32 = 75,882.83/x
  3. Step 3: Cross multiply
    126,880.63x = 175,083.32 × 75,882.83
  4. Step 4: Simplify right side
    126,880.63x = 13,285,817,121.69
  5. Step 5: Solve for x
    x = 13,285,817,121.69/126,880.63
  6. Step 6: Final answer
    x = 104,711.16

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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.