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Finding the Fourth Proportional to 262,231.20, 393,346.80 and 120,076.20

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Solution

The fourth proportional to 262,231.20, 393,346.80 and 120,076.20 is: 180,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,231.20 : 393,346.80 = 120,076.20 : x
  2. Step 2: Convert to fraction form
    262,231.20/393,346.80 = 120,076.20/x
  3. Step 3: Cross multiply
    262,231.20x = 393,346.80 × 120,076.20
  4. Step 4: Simplify right side
    262,231.20x = 47,231,589,026.16
  5. Step 5: Solve for x
    x = 47,231,589,026.16/262,231.20
  6. Step 6: Final answer
    x = 180,114.30

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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.