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Finding the Fourth Proportional to 258,494.43, 387,741.78 and 81,015.26

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Solution

The fourth proportional to 258,494.43, 387,741.78 and 81,015.26 is: 121,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,494.43 : 387,741.78 = 81,015.26 : x
  2. Step 2: Convert to fraction form
    258,494.43/387,741.78 = 81,015.26/x
  3. Step 3: Cross multiply
    258,494.43x = 387,741.78 × 81,015.26
  4. Step 4: Simplify right side
    258,494.43x = 31,413,001,119.56
  5. Step 5: Solve for x
    x = 31,413,001,119.56/258,494.43
  6. Step 6: Final answer
    x = 121,522.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.