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Finding the Fourth Proportional to 258,580.50, 356,884.92 and 149,669.07

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Solution

The fourth proportional to 258,580.50, 356,884.92 and 149,669.07 is: 206,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,580.50 : 356,884.92 = 149,669.07 : x
  2. Step 2: Convert to fraction form
    258,580.50/356,884.92 = 149,669.07/x
  3. Step 3: Cross multiply
    258,580.50x = 356,884.92 × 149,669.07
  4. Step 4: Simplify right side
    258,580.50x = 53,414,634,073.42
  5. Step 5: Solve for x
    x = 53,414,634,073.42/258,580.50
  6. Step 6: Final answer
    x = 206,568.69

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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.