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Finding the Fourth Proportional to 242,642.20, 363,963.30 and 149,200.60

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Solution

The fourth proportional to 242,642.20, 363,963.30 and 149,200.60 is: 223,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642.20 : 363,963.30 = 149,200.60 : x
  2. Step 2: Convert to fraction form
    242,642.20/363,963.30 = 149,200.60/x
  3. Step 3: Cross multiply
    242,642.20x = 363,963.30 × 149,200.60
  4. Step 4: Simplify right side
    242,642.20x = 54,303,542,737.98
  5. Step 5: Solve for x
    x = 54,303,542,737.98/242,642.20
  6. Step 6: Final answer
    x = 223,800.90

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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.