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Finding the Fourth Proportional to 252,044.58, 347,819.70 and 137,323.22

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Solution

The fourth proportional to 252,044.58, 347,819.70 and 137,323.22 is: 189,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,044.58 : 347,819.70 = 137,323.22 : x
  2. Step 2: Convert to fraction form
    252,044.58/347,819.70 = 137,323.22/x
  3. Step 3: Cross multiply
    252,044.58x = 347,819.70 × 137,323.22
  4. Step 4: Simplify right side
    252,044.58x = 47,763,721,183.43
  5. Step 5: Solve for x
    x = 47,763,721,183.43/252,044.58
  6. Step 6: Final answer
    x = 189,505.05

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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.