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Finding the Fourth Proportional to 200,766.34, 300,747.99 and 120,760.13

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Solution

The fourth proportional to 200,766.34, 300,747.99 and 120,760.13 is: 180,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766.34 : 300,747.99 = 120,760.13 : x
  2. Step 2: Convert to fraction form
    200,766.34/300,747.99 = 120,760.13/x
  3. Step 3: Cross multiply
    200,766.34x = 300,747.99 × 120,760.13
  4. Step 4: Simplify right side
    200,766.34x = 36,318,364,865.90
  5. Step 5: Solve for x
    x = 36,318,364,865.90/200,766.34
  6. Step 6: Final answer
    x = 180,898.68

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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.