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Finding the Fourth Proportional to 252,486.50, 348,116.22 and 161,693.20

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Solution

The fourth proportional to 252,486.50, 348,116.22 and 161,693.20 is: 222,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,486.50 : 348,116.22 = 161,693.20 : x
  2. Step 2: Convert to fraction form
    252,486.50/348,116.22 = 161,693.20/x
  3. Step 3: Cross multiply
    252,486.50x = 348,116.22 × 161,693.20
  4. Step 4: Simplify right side
    252,486.50x = 56,288,025,583.70
  5. Step 5: Solve for x
    x = 56,288,025,583.70/252,486.50
  6. Step 6: Final answer
    x = 222,934.79

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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.