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Finding the Fourth Proportional to 136,993.75, 205,507.24 and 48,229.09

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Solution

The fourth proportional to 136,993.75, 205,507.24 and 48,229.09 is: 72,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,993.75 : 205,507.24 = 48,229.09 : x
  2. Step 2: Convert to fraction form
    136,993.75/205,507.24 = 48,229.09/x
  3. Step 3: Cross multiply
    136,993.75x = 205,507.24 × 48,229.09
  4. Step 4: Simplify right side
    136,993.75x = 9,911,427,173.61
  5. Step 5: Solve for x
    x = 9,911,427,173.61/136,993.75
  6. Step 6: Final answer
    x = 72,349.48

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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.