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Finding the Fourth Proportional to 220,045.36, 303,663.24 and 119,443.36

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Solution

The fourth proportional to 220,045.36, 303,663.24 and 119,443.36 is: 164,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,045.36 : 303,663.24 = 119,443.36 : x
  2. Step 2: Convert to fraction form
    220,045.36/303,663.24 = 119,443.36/x
  3. Step 3: Cross multiply
    220,045.36x = 303,663.24 × 119,443.36
  4. Step 4: Simplify right side
    220,045.36x = 36,270,557,694.09
  5. Step 5: Solve for x
    x = 36,270,557,694.09/220,045.36
  6. Step 6: Final answer
    x = 164,832.19

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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.