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Finding the Fourth Proportional to 227,713.20, 314,270.85 and 189,405.15

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Solution

The fourth proportional to 227,713.20, 314,270.85 and 189,405.15 is: 261,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713.20 : 314,270.85 = 189,405.15 : x
  2. Step 2: Convert to fraction form
    227,713.20/314,270.85 = 189,405.15/x
  3. Step 3: Cross multiply
    227,713.20x = 314,270.85 × 189,405.15
  4. Step 4: Simplify right side
    227,713.20x = 59,524,517,484.88
  5. Step 5: Solve for x
    x = 59,524,517,484.88/227,713.20
  6. Step 6: Final answer
    x = 261,401.26

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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.