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Finding the Fourth Proportional to 222,043.44, 306,052.92 and 165,434.16

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Solution

The fourth proportional to 222,043.44, 306,052.92 and 165,434.16 is: 228,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,043.44 : 306,052.92 = 165,434.16 : x
  2. Step 2: Convert to fraction form
    222,043.44/306,052.92 = 165,434.16/x
  3. Step 3: Cross multiply
    222,043.44x = 306,052.92 × 165,434.16
  4. Step 4: Simplify right side
    222,043.44x = 50,631,607,735.75
  5. Step 5: Solve for x
    x = 50,631,607,735.75/222,043.44
  6. Step 6: Final answer
    x = 228,025.69

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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.