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Finding the Fourth Proportional to 243,965.56, 366,367.14 and 149,749

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Solution

The fourth proportional to 243,965.56, 366,367.14 and 149,749 is: 224,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,965.56 : 366,367.14 = 149,749 : x
  2. Step 2: Convert to fraction form
    243,965.56/366,367.14 = 149,749/x
  3. Step 3: Cross multiply
    243,965.56x = 366,367.14 × 149,749
  4. Step 4: Simplify right side
    243,965.56x = 54,863,112,847.86
  5. Step 5: Solve for x
    x = 54,863,112,847.86/243,965.56
  6. Step 6: Final answer
    x = 224,880.56

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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.