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Finding the Fourth Proportional to 254,542.42, 351,226.38 and 147,122.48

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Solution

The fourth proportional to 254,542.42, 351,226.38 and 147,122.48 is: 203,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,542.42 : 351,226.38 = 147,122.48 : x
  2. Step 2: Convert to fraction form
    254,542.42/351,226.38 = 147,122.48/x
  3. Step 3: Cross multiply
    254,542.42x = 351,226.38 × 147,122.48
  4. Step 4: Simplify right side
    254,542.42x = 51,673,296,067.02
  5. Step 5: Solve for x
    x = 51,673,296,067.02/254,542.42
  6. Step 6: Final answer
    x = 203,004.65

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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.