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Finding the Fourth Proportional to 149,882.68, 224,758.14 and 79,745.32

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Solution

The fourth proportional to 149,882.68, 224,758.14 and 79,745.32 is: 119,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,882.68 : 224,758.14 = 79,745.32 : x
  2. Step 2: Convert to fraction form
    149,882.68/224,758.14 = 79,745.32/x
  3. Step 3: Cross multiply
    149,882.68x = 224,758.14 × 79,745.32
  4. Step 4: Simplify right side
    149,882.68x = 17,923,409,796.90
  5. Step 5: Solve for x
    x = 17,923,409,796.90/149,882.68
  6. Step 6: Final answer
    x = 119,582.93

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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.