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Finding the Fourth Proportional to 123,195.81, 184,792.10 and 29,700.81

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Solution

The fourth proportional to 123,195.81, 184,792.10 and 29,700.81 is: 44,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,195.81 : 184,792.10 = 29,700.81 : x
  2. Step 2: Convert to fraction form
    123,195.81/184,792.10 = 29,700.81/x
  3. Step 3: Cross multiply
    123,195.81x = 184,792.10 × 29,700.81
  4. Step 4: Simplify right side
    123,195.81x = 5,488,474,903.10
  5. Step 5: Solve for x
    x = 5,488,474,903.10/123,195.81
  6. Step 6: Final answer
    x = 44,550.82

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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.