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Finding the Fourth Proportional to 123,354.80, 184,847.88 and 67,874.48

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Solution

The fourth proportional to 123,354.80, 184,847.88 and 67,874.48 is: 101,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,354.80 : 184,847.88 = 67,874.48 : x
  2. Step 2: Convert to fraction form
    123,354.80/184,847.88 = 67,874.48/x
  3. Step 3: Cross multiply
    123,354.80x = 184,847.88 × 67,874.48
  4. Step 4: Simplify right side
    123,354.80x = 12,546,453,734.10
  5. Step 5: Solve for x
    x = 12,546,453,734.10/123,354.80
  6. Step 6: Final answer
    x = 101,710.30

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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.