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Finding the Fourth Proportional to 283,198.38, 390,816.41 and 155,876.91

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Solution

The fourth proportional to 283,198.38, 390,816.41 and 155,876.91 is: 215,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,198.38 : 390,816.41 = 155,876.91 : x
  2. Step 2: Convert to fraction form
    283,198.38/390,816.41 = 155,876.91/x
  3. Step 3: Cross multiply
    283,198.38x = 390,816.41 × 155,876.91
  4. Step 4: Simplify right side
    283,198.38x = 60,919,253,588.71
  5. Step 5: Solve for x
    x = 60,919,253,588.71/283,198.38
  6. Step 6: Final answer
    x = 215,111.59

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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.