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Finding the Fourth Proportional to 235,387.80, 353,081.70 and 77,578.20

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Solution

The fourth proportional to 235,387.80, 353,081.70 and 77,578.20 is: 116,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,387.80 : 353,081.70 = 77,578.20 : x
  2. Step 2: Convert to fraction form
    235,387.80/353,081.70 = 77,578.20/x
  3. Step 3: Cross multiply
    235,387.80x = 353,081.70 × 77,578.20
  4. Step 4: Simplify right side
    235,387.80x = 27,391,442,738.94
  5. Step 5: Solve for x
    x = 27,391,442,738.94/235,387.80
  6. Step 6: Final answer
    x = 116,367.30

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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.