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Finding the Fourth Proportional to 200,501.37, 300,752.46 and 82,151.46

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Solution

The fourth proportional to 200,501.37, 300,752.46 and 82,151.46 is: 123,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,501.37 : 300,752.46 = 82,151.46 : x
  2. Step 2: Convert to fraction form
    200,501.37/300,752.46 = 82,151.46/x
  3. Step 3: Cross multiply
    200,501.37x = 300,752.46 × 82,151.46
  4. Step 4: Simplify right side
    200,501.37x = 24,707,253,687.59
  5. Step 5: Solve for x
    x = 24,707,253,687.59/200,501.37
  6. Step 6: Final answer
    x = 123,227.36

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1.5x scale

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.