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Finding the Fourth Proportional to 270,410.80, 405,846.60 and 120,881.20

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Solution

The fourth proportional to 270,410.80, 405,846.60 and 120,881.20 is: 181,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,410.80 : 405,846.60 = 120,881.20 : x
  2. Step 2: Convert to fraction form
    270,410.80/405,846.60 = 120,881.20/x
  3. Step 3: Cross multiply
    270,410.80x = 405,846.60 × 120,881.20
  4. Step 4: Simplify right side
    270,410.80x = 49,059,224,023.92
  5. Step 5: Solve for x
    x = 49,059,224,023.92/270,410.80
  6. Step 6: Final answer
    x = 181,424.80

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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.