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Finding the Fourth Proportional to 106,467.60, 159,701.40 and 50,289.24

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Solution

The fourth proportional to 106,467.60, 159,701.40 and 50,289.24 is: 75,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,467.60 : 159,701.40 = 50,289.24 : x
  2. Step 2: Convert to fraction form
    106,467.60/159,701.40 = 50,289.24/x
  3. Step 3: Cross multiply
    106,467.60x = 159,701.40 × 50,289.24
  4. Step 4: Simplify right side
    106,467.60x = 8,031,262,032.94
  5. Step 5: Solve for x
    x = 8,031,262,032.94/106,467.60
  6. Step 6: Final answer
    x = 75,433.86

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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.