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Finding the Fourth Proportional to 138,668.96, 191,363.20 and 78,252.40

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Solution

The fourth proportional to 138,668.96, 191,363.20 and 78,252.40 is: 107,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,668.96 : 191,363.20 = 78,252.40 : x
  2. Step 2: Convert to fraction form
    138,668.96/191,363.20 = 78,252.40/x
  3. Step 3: Cross multiply
    138,668.96x = 191,363.20 × 78,252.40
  4. Step 4: Simplify right side
    138,668.96x = 14,974,629,671.68
  5. Step 5: Solve for x
    x = 14,974,629,671.68/138,668.96
  6. Step 6: Final answer
    x = 107,988.33

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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.