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Finding the Fourth Proportional to 222,241.44, 306,691.02 and 120,264.72

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Solution

The fourth proportional to 222,241.44, 306,691.02 and 120,264.72 is: 165,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,241.44 : 306,691.02 = 120,264.72 : x
  2. Step 2: Convert to fraction form
    222,241.44/306,691.02 = 120,264.72/x
  3. Step 3: Cross multiply
    222,241.44x = 306,691.02 × 120,264.72
  4. Step 4: Simplify right side
    222,241.44x = 36,884,109,646.81
  5. Step 5: Solve for x
    x = 36,884,109,646.81/222,241.44
  6. Step 6: Final answer
    x = 165,964.14

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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.