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Finding the Fourth Proportional to 222,408.54, 306,925.25 and 120,434.00

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Solution

The fourth proportional to 222,408.54, 306,925.25 and 120,434.00 is: 166,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,408.54 : 306,925.25 = 120,434.00 : x
  2. Step 2: Convert to fraction form
    222,408.54/306,925.25 = 120,434.00/x
  3. Step 3: Cross multiply
    222,408.54x = 306,925.25 × 120,434.00
  4. Step 4: Simplify right side
    222,408.54x = 36,964,234,324.96
  5. Step 5: Solve for x
    x = 36,964,234,324.96/222,408.54
  6. Step 6: Final answer
    x = 166,199.71

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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.