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Finding the Fourth Proportional to 204,225.12, 281,828.16 and 114,801.12

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Solution

The fourth proportional to 204,225.12, 281,828.16 and 114,801.12 is: 158,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,225.12 : 281,828.16 = 114,801.12 : x
  2. Step 2: Convert to fraction form
    204,225.12/281,828.16 = 114,801.12/x
  3. Step 3: Cross multiply
    204,225.12x = 281,828.16 × 114,801.12
  4. Step 4: Simplify right side
    204,225.12x = 32,354,188,415.54
  5. Step 5: Solve for x
    x = 32,354,188,415.54/204,225.12
  6. Step 6: Final answer
    x = 158,424.14

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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.