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Finding the Fourth Proportional to 203,888.13, 281,365.62 and 114,464.13

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Solution

The fourth proportional to 203,888.13, 281,365.62 and 114,464.13 is: 157,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,888.13 : 281,365.62 = 114,464.13 : x
  2. Step 2: Convert to fraction form
    203,888.13/281,365.62 = 114,464.13/x
  3. Step 3: Cross multiply
    203,888.13x = 281,365.62 × 114,464.13
  4. Step 4: Simplify right side
    203,888.13x = 32,206,270,905.21
  5. Step 5: Solve for x
    x = 32,206,270,905.21/203,888.13
  6. Step 6: Final answer
    x = 157,960.50

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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.