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Finding the Fourth Proportional to 106,086.26, 159,117.50 and 27,202.34

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Solution

The fourth proportional to 106,086.26, 159,117.50 and 27,202.34 is: 40,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086.26 : 159,117.50 = 27,202.34 : x
  2. Step 2: Convert to fraction form
    106,086.26/159,117.50 = 27,202.34/x
  3. Step 3: Cross multiply
    106,086.26x = 159,117.50 × 27,202.34
  4. Step 4: Simplify right side
    106,086.26x = 4,328,368,334.95
  5. Step 5: Solve for x
    x = 4,328,368,334.95/106,086.26
  6. Step 6: Final answer
    x = 40,800.46

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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.