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Finding the Fourth Proportional to 149,214.52, 223,821.80 and 50,718.52

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Solution

The fourth proportional to 149,214.52, 223,821.80 and 50,718.52 is: 76,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,214.52 : 223,821.80 = 50,718.52 : x
  2. Step 2: Convert to fraction form
    149,214.52/223,821.80 = 50,718.52/x
  3. Step 3: Cross multiply
    149,214.52x = 223,821.80 × 50,718.52
  4. Step 4: Simplify right side
    149,214.52x = 11,351,910,439.74
  5. Step 5: Solve for x
    x = 11,351,910,439.74/149,214.52
  6. Step 6: Final answer
    x = 76,077.79

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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.