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Finding the Fourth Proportional to 257,134.01, 354,845.95 and 149,777.82

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Solution

The fourth proportional to 257,134.01, 354,845.95 and 149,777.82 is: 206,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,134.01 : 354,845.95 = 149,777.82 : x
  2. Step 2: Convert to fraction form
    257,134.01/354,845.95 = 149,777.82/x
  3. Step 3: Cross multiply
    257,134.01x = 354,845.95 × 149,777.82
  4. Step 4: Simplify right side
    257,134.01x = 53,148,052,452.38
  5. Step 5: Solve for x
    x = 53,148,052,452.38/257,134.01
  6. Step 6: Final answer
    x = 206,693.99

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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.