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Finding the Fourth Proportional to 222,016.64, 306,419.22 and 165,034.40

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Solution

The fourth proportional to 222,016.64, 306,419.22 and 165,034.40 is: 227,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,016.64 : 306,419.22 = 165,034.40 : x
  2. Step 2: Convert to fraction form
    222,016.64/306,419.22 = 165,034.40/x
  3. Step 3: Cross multiply
    222,016.64x = 306,419.22 × 165,034.40
  4. Step 4: Simplify right side
    222,016.64x = 50,569,712,121.17
  5. Step 5: Solve for x
    x = 50,569,712,121.17/222,016.64
  6. Step 6: Final answer
    x = 227,774.42

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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.