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Finding the Fourth Proportional to 200,731.79, 301,098.24 and 67,705.49

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Solution

The fourth proportional to 200,731.79, 301,098.24 and 67,705.49 is: 101,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.79 : 301,098.24 = 67,705.49 : x
  2. Step 2: Convert to fraction form
    200,731.79/301,098.24 = 67,705.49/x
  3. Step 3: Cross multiply
    200,731.79x = 301,098.24 × 67,705.49
  4. Step 4: Simplify right side
    200,731.79x = 20,386,002,371.85
  5. Step 5: Solve for x
    x = 20,386,002,371.85/200,731.79
  6. Step 6: Final answer
    x = 101,558.42

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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.