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Finding the Fourth Proportional to 106,614.42, 159,922.18 and 44,284.98

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Solution

The fourth proportional to 106,614.42, 159,922.18 and 44,284.98 is: 66,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,614.42 : 159,922.18 = 44,284.98 : x
  2. Step 2: Convert to fraction form
    106,614.42/159,922.18 = 44,284.98/x
  3. Step 3: Cross multiply
    106,614.42x = 159,922.18 × 44,284.98
  4. Step 4: Simplify right side
    106,614.42x = 7,082,150,542.86
  5. Step 5: Solve for x
    x = 7,082,150,542.86/106,614.42
  6. Step 6: Final answer
    x = 66,427.70

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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.