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Finding the Fourth Proportional to 215,401.92, 297,247.68 and 119,905.44

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Solution

The fourth proportional to 215,401.92, 297,247.68 and 119,905.44 is: 165,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,401.92 : 297,247.68 = 119,905.44 : x
  2. Step 2: Convert to fraction form
    215,401.92/297,247.68 = 119,905.44/x
  3. Step 3: Cross multiply
    215,401.92x = 297,247.68 × 119,905.44
  4. Step 4: Simplify right side
    215,401.92x = 35,641,613,859.38
  5. Step 5: Solve for x
    x = 35,641,613,859.38/215,401.92
  6. Step 6: Final answer
    x = 165,465.63

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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.