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Finding the Fourth Proportional to 263,057.92, 363,028.32 and 149,887.96

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Solution

The fourth proportional to 263,057.92, 363,028.32 and 149,887.96 is: 206,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,057.92 : 363,028.32 = 149,887.96 : x
  2. Step 2: Convert to fraction form
    263,057.92/363,028.32 = 149,887.96/x
  3. Step 3: Cross multiply
    263,057.92x = 363,028.32 × 149,887.96
  4. Step 4: Simplify right side
    263,057.92x = 54,413,574,307.03
  5. Step 5: Solve for x
    x = 54,413,574,307.03/263,057.92
  6. Step 6: Final answer
    x = 206,850.17

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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.