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Finding the Fourth Proportional to 123,200.20, 184,454.70 and 119,744.20

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Solution

The fourth proportional to 123,200.20, 184,454.70 and 119,744.20 is: 179,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,200.20 : 184,454.70 = 119,744.20 : x
  2. Step 2: Convert to fraction form
    123,200.20/184,454.70 = 119,744.20/x
  3. Step 3: Cross multiply
    123,200.20x = 184,454.70 × 119,744.20
  4. Step 4: Simplify right side
    123,200.20x = 22,087,380,487.74
  5. Step 5: Solve for x
    x = 22,087,380,487.74/123,200.20
  6. Step 6: Final answer
    x = 179,280.39

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1.5x scale

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.