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Finding the Fourth Proportional to 204,232.32, 281,865.92 and 114,808.32

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Solution

The fourth proportional to 204,232.32, 281,865.92 and 114,808.32 is: 158,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,232.32 : 281,865.92 = 114,808.32 : x
  2. Step 2: Convert to fraction form
    204,232.32/281,865.92 = 114,808.32/x
  3. Step 3: Cross multiply
    204,232.32x = 281,865.92 × 114,808.32
  4. Step 4: Simplify right side
    204,232.32x = 32,360,552,740.45
  5. Step 5: Solve for x
    x = 32,360,552,740.45/204,232.32
  6. Step 6: Final answer
    x = 158,449.71

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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.