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Finding the Fourth Proportional to 149,260.32, 223,806.24 and 55,728

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Solution

The fourth proportional to 149,260.32, 223,806.24 and 55,728 is: 83,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,260.32 : 223,806.24 = 55,728 : x
  2. Step 2: Convert to fraction form
    149,260.32/223,806.24 = 55,728/x
  3. Step 3: Cross multiply
    149,260.32x = 223,806.24 × 55,728
  4. Step 4: Simplify right side
    149,260.32x = 12,472,274,142.72
  5. Step 5: Solve for x
    x = 12,472,274,142.72/149,260.32
  6. Step 6: Final answer
    x = 83,560.55

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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.