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Finding the Fourth Proportional to 235,776.29, 353,708.17 and 78,006.11

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Solution

The fourth proportional to 235,776.29, 353,708.17 and 78,006.11 is: 117,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,776.29 : 353,708.17 = 78,006.11 : x
  2. Step 2: Convert to fraction form
    235,776.29/353,708.17 = 78,006.11/x
  3. Step 3: Cross multiply
    235,776.29x = 353,708.17 × 78,006.11
  4. Step 4: Simplify right side
    235,776.29x = 27,591,396,453.36
  5. Step 5: Solve for x
    x = 27,591,396,453.36/235,776.29
  6. Step 6: Final answer
    x = 117,023.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.