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Finding the Fourth Proportional to 123,209.74, 184,837.42 and 38,991.10

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Solution

The fourth proportional to 123,209.74, 184,837.42 and 38,991.10 is: 58,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,209.74 : 184,837.42 = 38,991.10 : x
  2. Step 2: Convert to fraction form
    123,209.74/184,837.42 = 38,991.10/x
  3. Step 3: Cross multiply
    123,209.74x = 184,837.42 × 38,991.10
  4. Step 4: Simplify right side
    123,209.74x = 7,207,014,326.96
  5. Step 5: Solve for x
    x = 7,207,014,326.96/123,209.74
  6. Step 6: Final answer
    x = 58,493.87

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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.