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Finding the Fourth Proportional to 106,147.55, 159,222.92 and 27,260.03

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Solution

The fourth proportional to 106,147.55, 159,222.92 and 27,260.03 is: 40,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,147.55 : 159,222.92 = 27,260.03 : x
  2. Step 2: Convert to fraction form
    106,147.55/159,222.92 = 27,260.03/x
  3. Step 3: Cross multiply
    106,147.55x = 159,222.92 × 27,260.03
  4. Step 4: Simplify right side
    106,147.55x = 4,340,420,643.47
  5. Step 5: Solve for x
    x = 4,340,420,643.47/106,147.55
  6. Step 6: Final answer
    x = 40,890.45

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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.