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Finding the Fourth Proportional to 87,849.70, 121,436.88 and 78,383.41

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Solution

The fourth proportional to 87,849.70, 121,436.88 and 78,383.41 is: 108,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,849.70 : 121,436.88 = 78,383.41 : x
  2. Step 2: Convert to fraction form
    87,849.70/121,436.88 = 78,383.41/x
  3. Step 3: Cross multiply
    87,849.70x = 121,436.88 × 78,383.41
  4. Step 4: Simplify right side
    87,849.70x = 9,518,636,754.16
  5. Step 5: Solve for x
    x = 9,518,636,754.16/87,849.70
  6. Step 6: Final answer
    x = 108,351.39

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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.