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Finding the Fourth Proportional to 200,082.86, 299,791.11 and 140,793.97

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Solution

The fourth proportional to 200,082.86, 299,791.11 and 140,793.97 is: 210,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.86 : 299,791.11 = 140,793.97 : x
  2. Step 2: Convert to fraction form
    200,082.86/299,791.11 = 140,793.97/x
  3. Step 3: Cross multiply
    200,082.86x = 299,791.11 × 140,793.97
  4. Step 4: Simplify right side
    200,082.86x = 42,208,780,547.61
  5. Step 5: Solve for x
    x = 42,208,780,547.61/200,082.86
  6. Step 6: Final answer
    x = 210,956.50

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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.