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Finding the Fourth Proportional to 123,023.61, 184,469.81 and 63,712.17

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Solution

The fourth proportional to 123,023.61, 184,469.81 and 63,712.17 is: 95,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,023.61 : 184,469.81 = 63,712.17 : x
  2. Step 2: Convert to fraction form
    123,023.61/184,469.81 = 63,712.17/x
  3. Step 3: Cross multiply
    123,023.61x = 184,469.81 × 63,712.17
  4. Step 4: Simplify right side
    123,023.61x = 11,752,971,576.03
  5. Step 5: Solve for x
    x = 11,752,971,576.03/123,023.61
  6. Step 6: Final answer
    x = 95,534.28

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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.