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Finding the Fourth Proportional to 106,242.27, 159,380.31 and 35,167.50

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Solution

The fourth proportional to 106,242.27, 159,380.31 and 35,167.50 is: 52,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,242.27 : 159,380.31 = 35,167.50 : x
  2. Step 2: Convert to fraction form
    106,242.27/159,380.31 = 35,167.50/x
  3. Step 3: Cross multiply
    106,242.27x = 159,380.31 × 35,167.50
  4. Step 4: Simplify right side
    106,242.27x = 5,605,007,051.93
  5. Step 5: Solve for x
    x = 5,605,007,051.93/106,242.27
  6. Step 6: Final answer
    x = 52,756.85

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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.