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Finding the Fourth Proportional to 123,408.61, 185,119.84 and 34,655.19

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Solution

The fourth proportional to 123,408.61, 185,119.84 and 34,655.19 is: 51,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,408.61 : 185,119.84 = 34,655.19 : x
  2. Step 2: Convert to fraction form
    123,408.61/185,119.84 = 34,655.19/x
  3. Step 3: Cross multiply
    123,408.61x = 185,119.84 × 34,655.19
  4. Step 4: Simplify right side
    123,408.61x = 6,415,363,227.97
  5. Step 5: Solve for x
    x = 6,415,363,227.97/123,408.61
  6. Step 6: Final answer
    x = 51,984.73

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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.