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Finding the Fourth Proportional to 106,521.20, 159,629.49 and 78,219.21

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Solution

The fourth proportional to 106,521.20, 159,629.49 and 78,219.21 is: 117,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,521.20 : 159,629.49 = 78,219.21 : x
  2. Step 2: Convert to fraction form
    106,521.20/159,629.49 = 78,219.21/x
  3. Step 3: Cross multiply
    106,521.20x = 159,629.49 × 78,219.21
  4. Step 4: Simplify right side
    106,521.20x = 12,486,092,600.50
  5. Step 5: Solve for x
    x = 12,486,092,600.50/106,521.20
  6. Step 6: Final answer
    x = 117,216.98

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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.