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Finding the Fourth Proportional to 123,002.39, 184,324.07 and 54,531.34

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Solution

The fourth proportional to 123,002.39, 184,324.07 and 54,531.34 is: 81,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,002.39 : 184,324.07 = 54,531.34 : x
  2. Step 2: Convert to fraction form
    123,002.39/184,324.07 = 54,531.34/x
  3. Step 3: Cross multiply
    123,002.39x = 184,324.07 × 54,531.34
  4. Step 4: Simplify right side
    123,002.39x = 10,051,438,206.87
  5. Step 5: Solve for x
    x = 10,051,438,206.87/123,002.39
  6. Step 6: Final answer
    x = 81,717.42

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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.