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Finding the Fourth Proportional to 258,777, 388,165.68 and 71,788.68

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Solution

The fourth proportional to 258,777, 388,165.68 and 71,788.68 is: 107,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,777 : 388,165.68 = 71,788.68 : x
  2. Step 2: Convert to fraction form
    258,777/388,165.68 = 71,788.68/x
  3. Step 3: Cross multiply
    258,777x = 388,165.68 × 71,788.68
  4. Step 4: Simplify right side
    258,777x = 27,865,901,788.50
  5. Step 5: Solve for x
    x = 27,865,901,788.50/258,777
  6. Step 6: Final answer
    x = 107,683.07

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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.