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Finding the Fourth Proportional to 106,589.98, 159,790.88 and 43,462.90

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Solution

The fourth proportional to 106,589.98, 159,790.88 and 43,462.90 is: 65,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,589.98 : 159,790.88 = 43,462.90 : x
  2. Step 2: Convert to fraction form
    106,589.98/159,790.88 = 43,462.90/x
  3. Step 3: Cross multiply
    106,589.98x = 159,790.88 × 43,462.90
  4. Step 4: Simplify right side
    106,589.98x = 6,944,974,821.04
  5. Step 5: Solve for x
    x = 6,944,974,821.04/106,589.98
  6. Step 6: Final answer
    x = 65,155.98

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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.