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Finding the Fourth Proportional to 113,684.29, 170,380.50 and 54,431.17

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Solution

The fourth proportional to 113,684.29, 170,380.50 and 54,431.17 is: 81,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,684.29 : 170,380.50 = 54,431.17 : x
  2. Step 2: Convert to fraction form
    113,684.29/170,380.50 = 54,431.17/x
  3. Step 3: Cross multiply
    113,684.29x = 170,380.50 × 54,431.17
  4. Step 4: Simplify right side
    113,684.29x = 9,274,009,960.19
  5. Step 5: Solve for x
    x = 9,274,009,960.19/113,684.29
  6. Step 6: Final answer
    x = 81,576.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.