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Finding the Fourth Proportional to 243,824.31, 365,880.92 and 110,702.57

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Solution

The fourth proportional to 243,824.31, 365,880.92 and 110,702.57 is: 166,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,824.31 : 365,880.92 = 110,702.57 : x
  2. Step 2: Convert to fraction form
    243,824.31/365,880.92 = 110,702.57/x
  3. Step 3: Cross multiply
    243,824.31x = 365,880.92 × 110,702.57
  4. Step 4: Simplify right side
    243,824.31x = 40,503,955,775.05
  5. Step 5: Solve for x
    x = 40,503,955,775.05/243,824.31
  6. Step 6: Final answer
    x = 166,119.43

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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.