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Finding the Fourth Proportional to 233,393.48, 321,405.24 and 202,752.56

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Solution

The fourth proportional to 233,393.48, 321,405.24 and 202,752.56 is: 279,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,393.48 : 321,405.24 = 202,752.56 : x
  2. Step 2: Convert to fraction form
    233,393.48/321,405.24 = 202,752.56/x
  3. Step 3: Cross multiply
    233,393.48x = 321,405.24 × 202,752.56
  4. Step 4: Simplify right side
    233,393.48x = 65,165,735,207.41
  5. Step 5: Solve for x
    x = 65,165,735,207.41/233,393.48
  6. Step 6: Final answer
    x = 279,209.75

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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.