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Finding the Fourth Proportional to 225,203.13, 310,777.65 and 123,227.42

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Solution

The fourth proportional to 225,203.13, 310,777.65 and 123,227.42 is: 170,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,203.13 : 310,777.65 = 123,227.42 : x
  2. Step 2: Convert to fraction form
    225,203.13/310,777.65 = 123,227.42/x
  3. Step 3: Cross multiply
    225,203.13x = 310,777.65 × 123,227.42
  4. Step 4: Simplify right side
    225,203.13x = 38,296,326,449.27
  5. Step 5: Solve for x
    x = 38,296,326,449.27/225,203.13
  6. Step 6: Final answer
    x = 170,052.37

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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.