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Finding the Fourth Proportional to 123,646.80, 185,408.10 and 60,471.66

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Solution

The fourth proportional to 123,646.80, 185,408.10 and 60,471.66 is: 90,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,646.80 : 185,408.10 = 60,471.66 : x
  2. Step 2: Convert to fraction form
    123,646.80/185,408.10 = 60,471.66/x
  3. Step 3: Cross multiply
    123,646.80x = 185,408.10 × 60,471.66
  4. Step 4: Simplify right side
    123,646.80x = 11,211,935,584.45
  5. Step 5: Solve for x
    x = 11,211,935,584.45/123,646.80
  6. Step 6: Final answer
    x = 90,677.12

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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.