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Finding the Fourth Proportional to 223,546.72, 308,622 and 148,197.28

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Solution

The fourth proportional to 223,546.72, 308,622 and 148,197.28 is: 204,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,546.72 : 308,622 = 148,197.28 : x
  2. Step 2: Convert to fraction form
    223,546.72/308,622 = 148,197.28/x
  3. Step 3: Cross multiply
    223,546.72x = 308,622 × 148,197.28
  4. Step 4: Simplify right side
    223,546.72x = 45,736,940,948.16
  5. Step 5: Solve for x
    x = 45,736,940,948.16/223,546.72
  6. Step 6: Final answer
    x = 204,596.79

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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.