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Finding the Fourth Proportional to 122,964.80, 184,447.20 and 112,467.20

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Solution

The fourth proportional to 122,964.80, 184,447.20 and 112,467.20 is: 168,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,964.80 : 184,447.20 = 112,467.20 : x
  2. Step 2: Convert to fraction form
    122,964.80/184,447.20 = 112,467.20/x
  3. Step 3: Cross multiply
    122,964.80x = 184,447.20 × 112,467.20
  4. Step 4: Simplify right side
    122,964.80x = 20,744,260,131.84
  5. Step 5: Solve for x
    x = 20,744,260,131.84/122,964.80
  6. Step 6: Final answer
    x = 168,700.80

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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.