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Finding the Fourth Proportional to 155,201.88, 214,177.49 and 87,217.39

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Solution

The fourth proportional to 155,201.88, 214,177.49 and 87,217.39 is: 120,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,201.88 : 214,177.49 = 87,217.39 : x
  2. Step 2: Convert to fraction form
    155,201.88/214,177.49 = 87,217.39/x
  3. Step 3: Cross multiply
    155,201.88x = 214,177.49 × 87,217.39
  4. Step 4: Simplify right side
    155,201.88x = 18,680,001,074.85
  5. Step 5: Solve for x
    x = 18,680,001,074.85/155,201.88
  6. Step 6: Final answer
    x = 120,359.37

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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.