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Finding the Fourth Proportional to 252,006.68, 347,769.22 and 138,829.43

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Solution

The fourth proportional to 252,006.68, 347,769.22 and 138,829.43 is: 191,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,006.68 : 347,769.22 = 138,829.43 : x
  2. Step 2: Convert to fraction form
    252,006.68/347,769.22 = 138,829.43/x
  3. Step 3: Cross multiply
    252,006.68x = 347,769.22 × 138,829.43
  4. Step 4: Simplify right side
    252,006.68x = 48,280,603,106.49
  5. Step 5: Solve for x
    x = 48,280,603,106.49/252,006.68
  6. Step 6: Final answer
    x = 191,584.61

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