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Finding the Fourth Proportional to 200,723.43, 301,085.66 and 67,697.13

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Solution

The fourth proportional to 200,723.43, 301,085.66 and 67,697.13 is: 101,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.43 : 301,085.66 = 67,697.13 : x
  2. Step 2: Convert to fraction form
    200,723.43/301,085.66 = 67,697.13/x
  3. Step 3: Cross multiply
    200,723.43x = 301,085.66 × 67,697.13
  4. Step 4: Simplify right side
    200,723.43x = 20,382,635,066.16
  5. Step 5: Solve for x
    x = 20,382,635,066.16/200,723.43
  6. Step 6: Final answer
    x = 101,545.87

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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.