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Finding the Fourth Proportional to 222,231, 306,676.44 and 120,254.23

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Solution

The fourth proportional to 222,231, 306,676.44 and 120,254.23 is: 165,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,231 : 306,676.44 = 120,254.23 : x
  2. Step 2: Convert to fraction form
    222,231/306,676.44 = 120,254.23/x
  3. Step 3: Cross multiply
    222,231x = 306,676.44 × 120,254.23
  4. Step 4: Simplify right side
    222,231x = 36,879,139,151.34
  5. Step 5: Solve for x
    x = 36,879,139,151.34/222,231
  6. Step 6: Final answer
    x = 165,949.57

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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.