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Finding the Fourth Proportional to 106,405.01, 159,788.29 and 71,093.24

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Solution

The fourth proportional to 106,405.01, 159,788.29 and 71,093.24 is: 106,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405.01 : 159,788.29 = 71,093.24 : x
  2. Step 2: Convert to fraction form
    106,405.01/159,788.29 = 71,093.24/x
  3. Step 3: Cross multiply
    106,405.01x = 159,788.29 × 71,093.24
  4. Step 4: Simplify right side
    106,405.01x = 11,359,867,471.90
  5. Step 5: Solve for x
    x = 11,359,867,471.90/106,405.01
  6. Step 6: Final answer
    x = 106,760.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.