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Finding the Fourth Proportional to 235,031.60, 352,604.10 and 77,251.70

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Solution

The fourth proportional to 235,031.60, 352,604.10 and 77,251.70 is: 115,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,031.60 : 352,604.10 = 77,251.70 : x
  2. Step 2: Convert to fraction form
    235,031.60/352,604.10 = 77,251.70/x
  3. Step 3: Cross multiply
    235,031.60x = 352,604.10 × 77,251.70
  4. Step 4: Simplify right side
    235,031.60x = 27,239,266,151.97
  5. Step 5: Solve for x
    x = 27,239,266,151.97/235,031.60
  6. Step 6: Final answer
    x = 115,896.19

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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.