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Finding the Fourth Proportional to 135,029.30, 202,414.35 and 105,026.90

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Solution

The fourth proportional to 135,029.30, 202,414.35 and 105,026.90 is: 157,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,029.30 : 202,414.35 = 105,026.90 : x
  2. Step 2: Convert to fraction form
    135,029.30/202,414.35 = 105,026.90/x
  3. Step 3: Cross multiply
    135,029.30x = 202,414.35 × 105,026.90
  4. Step 4: Simplify right side
    135,029.30x = 21,258,951,696.02
  5. Step 5: Solve for x
    x = 21,258,951,696.02/135,029.30
  6. Step 6: Final answer
    x = 157,439.55

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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.