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Finding the Fourth Proportional to 181,204.60, 271,806.90 and 133,965.40

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Solution

The fourth proportional to 181,204.60, 271,806.90 and 133,965.40 is: 200,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,204.60 : 271,806.90 = 133,965.40 : x
  2. Step 2: Convert to fraction form
    181,204.60/271,806.90 = 133,965.40/x
  3. Step 3: Cross multiply
    181,204.60x = 271,806.90 × 133,965.40
  4. Step 4: Simplify right side
    181,204.60x = 36,412,720,081.26
  5. Step 5: Solve for x
    x = 36,412,720,081.26/181,204.60
  6. Step 6: Final answer
    x = 200,948.10

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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.