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Finding the Fourth Proportional to 252,099.08, 347,889.78 and 137,375.24

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Solution

The fourth proportional to 252,099.08, 347,889.78 and 137,375.24 is: 189,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099.08 : 347,889.78 = 137,375.24 : x
  2. Step 2: Convert to fraction form
    252,099.08/347,889.78 = 137,375.24/x
  3. Step 3: Cross multiply
    252,099.08x = 347,889.78 × 137,375.24
  4. Step 4: Simplify right side
    252,099.08x = 47,791,442,021.05
  5. Step 5: Solve for x
    x = 47,791,442,021.05/252,099.08
  6. Step 6: Final answer
    x = 189,574.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.