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Finding the Fourth Proportional to 123,078.80, 184,608.60 and 48,184.40

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Solution

The fourth proportional to 123,078.80, 184,608.60 and 48,184.40 is: 72,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078.80 : 184,608.60 = 48,184.40 : x
  2. Step 2: Convert to fraction form
    123,078.80/184,608.60 = 48,184.40/x
  3. Step 3: Cross multiply
    123,078.80x = 184,608.60 × 48,184.40
  4. Step 4: Simplify right side
    123,078.80x = 8,895,254,625.84
  5. Step 5: Solve for x
    x = 8,895,254,625.84/123,078.80
  6. Step 6: Final answer
    x = 72,272.84

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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.