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Finding the Fourth Proportional to 232,993.19, 321,616.41 and 204,615.08

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Solution

The fourth proportional to 232,993.19, 321,616.41 and 204,615.08 is: 282,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.19 : 321,616.41 = 204,615.08 : x
  2. Step 2: Convert to fraction form
    232,993.19/321,616.41 = 204,615.08/x
  3. Step 3: Cross multiply
    232,993.19x = 321,616.41 × 204,615.08
  4. Step 4: Simplify right side
    232,993.19x = 65,807,566,292.14
  5. Step 5: Solve for x
    x = 65,807,566,292.14/232,993.19
  6. Step 6: Final answer
    x = 282,444.16

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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.