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Finding the Fourth Proportional to 133,809.30, 200,543.85 and 54,834.30

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Solution

The fourth proportional to 133,809.30, 200,543.85 and 54,834.30 is: 82,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.30 : 200,543.85 = 54,834.30 : x
  2. Step 2: Convert to fraction form
    133,809.30/200,543.85 = 54,834.30/x
  3. Step 3: Cross multiply
    133,809.30x = 200,543.85 × 54,834.30
  4. Step 4: Simplify right side
    133,809.30x = 10,996,681,634.06
  5. Step 5: Solve for x
    x = 10,996,681,634.06/133,809.30
  6. Step 6: Final answer
    x = 82,181.74

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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.