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Finding the Fourth Proportional to 215,738.60, 297,720.65 and 120,251.35

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Solution

The fourth proportional to 215,738.60, 297,720.65 and 120,251.35 is: 165,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,738.60 : 297,720.65 = 120,251.35 : x
  2. Step 2: Convert to fraction form
    215,738.60/297,720.65 = 120,251.35/x
  3. Step 3: Cross multiply
    215,738.60x = 297,720.65 × 120,251.35
  4. Step 4: Simplify right side
    215,738.60x = 35,801,310,085.38
  5. Step 5: Solve for x
    x = 35,801,310,085.38/215,738.60
  6. Step 6: Final answer
    x = 165,947.63

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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.