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Finding the Fourth Proportional to 252,069.38, 347,856.81 and 138,892.22

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Solution

The fourth proportional to 252,069.38, 347,856.81 and 138,892.22 is: 191,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,069.38 : 347,856.81 = 138,892.22 : x
  2. Step 2: Convert to fraction form
    252,069.38/347,856.81 = 138,892.22/x
  3. Step 3: Cross multiply
    252,069.38x = 347,856.81 × 138,892.22
  4. Step 4: Simplify right side
    252,069.38x = 48,314,604,583.02
  5. Step 5: Solve for x
    x = 48,314,604,583.02/252,069.38
  6. Step 6: Final answer
    x = 191,671.85

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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.