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Finding the Fourth Proportional to 220,083.24, 303,710.16 and 119,481.24

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Solution

The fourth proportional to 220,083.24, 303,710.16 and 119,481.24 is: 164,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,083.24 : 303,710.16 = 119,481.24 : x
  2. Step 2: Convert to fraction form
    220,083.24/303,710.16 = 119,481.24/x
  3. Step 3: Cross multiply
    220,083.24x = 303,710.16 × 119,481.24
  4. Step 4: Simplify right side
    220,083.24x = 36,287,666,517.40
  5. Step 5: Solve for x
    x = 36,287,666,517.40/220,083.24
  6. Step 6: Final answer
    x = 164,881.55

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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.