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Finding the Fourth Proportional to 263,138.28, 363,166.32 and 148,440.48

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Solution

The fourth proportional to 263,138.28, 363,166.32 and 148,440.48 is: 204,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138.28 : 363,166.32 = 148,440.48 : x
  2. Step 2: Convert to fraction form
    263,138.28/363,166.32 = 148,440.48/x
  3. Step 3: Cross multiply
    263,138.28x = 363,166.32 × 148,440.48
  4. Step 4: Simplify right side
    263,138.28x = 53,908,582,860.63
  5. Step 5: Solve for x
    x = 53,908,582,860.63/263,138.28
  6. Step 6: Final answer
    x = 204,867.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.