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Finding the Fourth Proportional to 251,404.83, 347,012.24 and 149,502.11

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Solution

The fourth proportional to 251,404.83, 347,012.24 and 149,502.11 is: 206,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,404.83 : 347,012.24 = 149,502.11 : x
  2. Step 2: Convert to fraction form
    251,404.83/347,012.24 = 149,502.11/x
  3. Step 3: Cross multiply
    251,404.83x = 347,012.24 × 149,502.11
  4. Step 4: Simplify right side
    251,404.83x = 51,879,059,593.25
  5. Step 5: Solve for x
    x = 51,879,059,593.25/251,404.83
  6. Step 6: Final answer
    x = 206,356.65

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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.