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Finding the Fourth Proportional to 123,069.60, 184,474.80 and 48,160.80

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Solution

The fourth proportional to 123,069.60, 184,474.80 and 48,160.80 is: 72,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,069.60 : 184,474.80 = 48,160.80 : x
  2. Step 2: Convert to fraction form
    123,069.60/184,474.80 = 48,160.80/x
  3. Step 3: Cross multiply
    123,069.60x = 184,474.80 × 48,160.80
  4. Step 4: Simplify right side
    123,069.60x = 8,884,453,947.84
  5. Step 5: Solve for x
    x = 8,884,453,947.84/123,069.60
  6. Step 6: Final answer
    x = 72,190.48

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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.