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Finding the Fourth Proportional to 205,765.24, 308,648.37 and 111,040

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Solution

The fourth proportional to 205,765.24, 308,648.37 and 111,040 is: 166,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.24 : 308,648.37 = 111,040 : x
  2. Step 2: Convert to fraction form
    205,765.24/308,648.37 = 111,040/x
  3. Step 3: Cross multiply
    205,765.24x = 308,648.37 × 111,040
  4. Step 4: Simplify right side
    205,765.24x = 34,272,315,004.80
  5. Step 5: Solve for x
    x = 34,272,315,004.80/205,765.24
  6. Step 6: Final answer
    x = 166,560.28

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