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Finding the Fourth Proportional to 123,217.44, 184,797.84 and 34,477.22

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Solution

The fourth proportional to 123,217.44, 184,797.84 and 34,477.22 is: 51,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,217.44 : 184,797.84 = 34,477.22 : x
  2. Step 2: Convert to fraction form
    123,217.44/184,797.84 = 34,477.22/x
  3. Step 3: Cross multiply
    123,217.44x = 184,797.84 × 34,477.22
  4. Step 4: Simplify right side
    123,217.44x = 6,371,315,785.20
  5. Step 5: Solve for x
    x = 6,371,315,785.20/123,217.44
  6. Step 6: Final answer
    x = 51,707.91

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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.