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Finding the Fourth Proportional to 252,232.91, 347,884.59 and 161,597.31

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Solution

The fourth proportional to 252,232.91, 347,884.59 and 161,597.31 is: 222,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,232.91 : 347,884.59 = 161,597.31 : x
  2. Step 2: Convert to fraction form
    252,232.91/347,884.59 = 161,597.31/x
  3. Step 3: Cross multiply
    252,232.91x = 347,884.59 × 161,597.31
  4. Step 4: Simplify right side
    252,232.91x = 56,217,211,387.04
  5. Step 5: Solve for x
    x = 56,217,211,387.04/252,232.91
  6. Step 6: Final answer
    x = 222,878.18

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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.