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Finding the Fourth Proportional to 106,158.16, 159,237.24 and 27,272.46

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Solution

The fourth proportional to 106,158.16, 159,237.24 and 27,272.46 is: 40,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,158.16 : 159,237.24 = 27,272.46 : x
  2. Step 2: Convert to fraction form
    106,158.16/159,237.24 = 27,272.46/x
  3. Step 3: Cross multiply
    106,158.16x = 159,237.24 × 27,272.46
  4. Step 4: Simplify right side
    106,158.16x = 4,342,791,122.05
  5. Step 5: Solve for x
    x = 4,342,791,122.05/106,158.16
  6. Step 6: Final answer
    x = 40,908.69

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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.