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Finding the Fourth Proportional to 123,005.20, 184,540.20 and 44,111.20

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Solution

The fourth proportional to 123,005.20, 184,540.20 and 44,111.20 is: 66,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,005.20 : 184,540.20 = 44,111.20 : x
  2. Step 2: Convert to fraction form
    123,005.20/184,540.20 = 44,111.20/x
  3. Step 3: Cross multiply
    123,005.20x = 184,540.20 × 44,111.20
  4. Step 4: Simplify right side
    123,005.20x = 8,140,289,670.24
  5. Step 5: Solve for x
    x = 8,140,289,670.24/123,005.20
  6. Step 6: Final answer
    x = 66,178.42

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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.