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Finding the Fourth Proportional to 263,121.96, 363,019.14 and 149,864.52

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Solution

The fourth proportional to 263,121.96, 363,019.14 and 149,864.52 is: 206,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,121.96 : 363,019.14 = 149,864.52 : x
  2. Step 2: Convert to fraction form
    263,121.96/363,019.14 = 149,864.52/x
  3. Step 3: Cross multiply
    263,121.96x = 363,019.14 × 149,864.52
  4. Step 4: Simplify right side
    263,121.96x = 54,403,689,166.91
  5. Step 5: Solve for x
    x = 54,403,689,166.91/263,121.96
  6. Step 6: Final answer
    x = 206,762.25

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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.