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Finding the Fourth Proportional to 204,569.36, 282,393 and 137,540.24

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Solution

The fourth proportional to 204,569.36, 282,393 and 137,540.24 is: 189,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,569.36 : 282,393 = 137,540.24 : x
  2. Step 2: Convert to fraction form
    204,569.36/282,393 = 137,540.24/x
  3. Step 3: Cross multiply
    204,569.36x = 282,393 × 137,540.24
  4. Step 4: Simplify right side
    204,569.36x = 38,840,400,994.32
  5. Step 5: Solve for x
    x = 38,840,400,994.32/204,569.36
  6. Step 6: Final answer
    x = 189,864.22

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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.