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Finding the Fourth Proportional to 133,722.30, 200,534.85 and 44,978.70

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Solution

The fourth proportional to 133,722.30, 200,534.85 and 44,978.70 is: 67,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722.30 : 200,534.85 = 44,978.70 : x
  2. Step 2: Convert to fraction form
    133,722.30/200,534.85 = 44,978.70/x
  3. Step 3: Cross multiply
    133,722.30x = 200,534.85 × 44,978.70
  4. Step 4: Simplify right side
    133,722.30x = 9,019,796,857.70
  5. Step 5: Solve for x
    x = 9,019,796,857.70/133,722.30
  6. Step 6: Final answer
    x = 67,451.70

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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.