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Finding the Fourth Proportional to 222,233, 306,679.20 and 120,256.24

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Solution

The fourth proportional to 222,233, 306,679.20 and 120,256.24 is: 165,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,233 : 306,679.20 = 120,256.24 : x
  2. Step 2: Convert to fraction form
    222,233/306,679.20 = 120,256.24/x
  3. Step 3: Cross multiply
    222,233x = 306,679.20 × 120,256.24
  4. Step 4: Simplify right side
    222,233x = 36,880,087,478.21
  5. Step 5: Solve for x
    x = 36,880,087,478.21/222,233
  6. Step 6: Final answer
    x = 165,952.34

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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.