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Finding the Fourth Proportional to 200,502.37, 300,753.96 and 82,152.46

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Solution

The fourth proportional to 200,502.37, 300,753.96 and 82,152.46 is: 123,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502.37 : 300,753.96 = 82,152.46 : x
  2. Step 2: Convert to fraction form
    200,502.37/300,753.96 = 82,152.46/x
  3. Step 3: Cross multiply
    200,502.37x = 300,753.96 × 82,152.46
  4. Step 4: Simplify right side
    200,502.37x = 24,707,677,668.74
  5. Step 5: Solve for x
    x = 24,707,677,668.74/200,502.37
  6. Step 6: Final answer
    x = 123,228.86

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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.