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Finding the Fourth Proportional to 106,876.60, 159,445.80 and 91,195

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Solution

The fourth proportional to 106,876.60, 159,445.80 and 91,195 is: 136,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876.60 : 159,445.80 = 91,195 : x
  2. Step 2: Convert to fraction form
    106,876.60/159,445.80 = 91,195/x
  3. Step 3: Cross multiply
    106,876.60x = 159,445.80 × 91,195
  4. Step 4: Simplify right side
    106,876.60x = 14,540,659,731.00
  5. Step 5: Solve for x
    x = 14,540,659,731.00/106,876.60
  6. Step 6: Final answer
    x = 136,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.