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Finding the Fourth Proportional to 215,874.82, 297,909.19 and 119,082.38

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Solution

The fourth proportional to 215,874.82, 297,909.19 and 119,082.38 is: 164,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,874.82 : 297,909.19 = 119,082.38 : x
  2. Step 2: Convert to fraction form
    215,874.82/297,909.19 = 119,082.38/x
  3. Step 3: Cross multiply
    215,874.82x = 297,909.19 × 119,082.38
  4. Step 4: Simplify right side
    215,874.82x = 35,475,735,369.07
  5. Step 5: Solve for x
    x = 35,475,735,369.07/215,874.82
  6. Step 6: Final answer
    x = 164,334.75

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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.