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Finding the Fourth Proportional to 200,681.96, 300,432.45 and 133,956.59

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Solution

The fourth proportional to 200,681.96, 300,432.45 and 133,956.59 is: 200,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,681.96 : 300,432.45 = 133,956.59 : x
  2. Step 2: Convert to fraction form
    200,681.96/300,432.45 = 133,956.59/x
  3. Step 3: Cross multiply
    200,681.96x = 300,432.45 × 133,956.59
  4. Step 4: Simplify right side
    200,681.96x = 40,244,906,715.12
  5. Step 5: Solve for x
    x = 40,244,906,715.12/200,681.96
  6. Step 6: Final answer
    x = 200,540.73

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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.