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Finding the Fourth Proportional to 222,471.37, 307,008.05 and 120,494.30

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Solution

The fourth proportional to 222,471.37, 307,008.05 and 120,494.30 is: 166,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,471.37 : 307,008.05 = 120,494.30 : x
  2. Step 2: Convert to fraction form
    222,471.37/307,008.05 = 120,494.30/x
  3. Step 3: Cross multiply
    222,471.37x = 307,008.05 × 120,494.30
  4. Step 4: Simplify right side
    222,471.37x = 36,992,717,941.60
  5. Step 5: Solve for x
    x = 36,992,717,941.60/222,471.37
  6. Step 6: Final answer
    x = 166,280.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.