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Finding the Fourth Proportional to 200,423.49, 300,624.70 and 67,306.47

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Solution

The fourth proportional to 200,423.49, 300,624.70 and 67,306.47 is: 100,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,423.49 : 300,624.70 = 67,306.47 : x
  2. Step 2: Convert to fraction form
    200,423.49/300,624.70 = 67,306.47/x
  3. Step 3: Cross multiply
    200,423.49x = 300,624.70 × 67,306.47
  4. Step 4: Simplify right side
    200,423.49x = 20,233,987,351.81
  5. Step 5: Solve for x
    x = 20,233,987,351.81/200,423.49
  6. Step 6: Final answer
    x = 100,956.17

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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.