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Finding the Fourth Proportional to 204,642.24, 282,406.72 and 115,218.24

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Solution

The fourth proportional to 204,642.24, 282,406.72 and 115,218.24 is: 159,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,642.24 : 282,406.72 = 115,218.24 : x
  2. Step 2: Convert to fraction form
    204,642.24/282,406.72 = 115,218.24/x
  3. Step 3: Cross multiply
    204,642.24x = 282,406.72 × 115,218.24
  4. Step 4: Simplify right side
    204,642.24x = 32,538,405,242.57
  5. Step 5: Solve for x
    x = 32,538,405,242.57/204,642.24
  6. Step 6: Final answer
    x = 159,001.41

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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.