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Finding the Fourth Proportional to 106,472.20, 159,605.90 and 82,766.60

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Solution

The fourth proportional to 106,472.20, 159,605.90 and 82,766.60 is: 124,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472.20 : 159,605.90 = 82,766.60 : x
  2. Step 2: Convert to fraction form
    106,472.20/159,605.90 = 82,766.60/x
  3. Step 3: Cross multiply
    106,472.20x = 159,605.90 × 82,766.60
  4. Step 4: Simplify right side
    106,472.20x = 13,210,037,682.94
  5. Step 5: Solve for x
    x = 13,210,037,682.94/106,472.20
  6. Step 6: Final answer
    x = 124,070.30

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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.