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Finding the Fourth Proportional to 205,494.13, 308,241.19 and 57,750.13

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Solution

The fourth proportional to 205,494.13, 308,241.19 and 57,750.13 is: 86,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494.13 : 308,241.19 = 57,750.13 : x
  2. Step 2: Convert to fraction form
    205,494.13/308,241.19 = 57,750.13/x
  3. Step 3: Cross multiply
    205,494.13x = 308,241.19 × 57,750.13
  4. Step 4: Simplify right side
    205,494.13x = 17,800,967,108.27
  5. Step 5: Solve for x
    x = 17,800,967,108.27/205,494.13
  6. Step 6: Final answer
    x = 86,625.19

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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.