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Finding the Fourth Proportional to 123,205.22, 184,806.73 and 38,965.45

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Solution

The fourth proportional to 123,205.22, 184,806.73 and 38,965.45 is: 58,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205.22 : 184,806.73 = 38,965.45 : x
  2. Step 2: Convert to fraction form
    123,205.22/184,806.73 = 38,965.45/x
  3. Step 3: Cross multiply
    123,205.22x = 184,806.73 × 38,965.45
  4. Step 4: Simplify right side
    123,205.22x = 7,201,076,838.05
  5. Step 5: Solve for x
    x = 7,201,076,838.05/123,205.22
  6. Step 6: Final answer
    x = 58,447.82

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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.