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Finding the Fourth Proportional to 203,540.10, 280,701.54 and 127,066.23

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Solution

The fourth proportional to 203,540.10, 280,701.54 and 127,066.23 is: 175,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,540.10 : 280,701.54 = 127,066.23 : x
  2. Step 2: Convert to fraction form
    203,540.10/280,701.54 = 127,066.23/x
  3. Step 3: Cross multiply
    203,540.10x = 280,701.54 × 127,066.23
  4. Step 4: Simplify right side
    203,540.10x = 35,667,686,442.99
  5. Step 5: Solve for x
    x = 35,667,686,442.99/203,540.10
  6. Step 6: Final answer
    x = 175,236.66

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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.