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Finding the Fourth Proportional to 219,984.01, 303,578.13 and 119,382.01

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Solution

The fourth proportional to 219,984.01, 303,578.13 and 119,382.01 is: 164,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,984.01 : 303,578.13 = 119,382.01 : x
  2. Step 2: Convert to fraction form
    219,984.01/303,578.13 = 119,382.01/x
  3. Step 3: Cross multiply
    219,984.01x = 303,578.13 × 119,382.01
  4. Step 4: Simplify right side
    219,984.01x = 36,241,767,351.44
  5. Step 5: Solve for x
    x = 36,241,767,351.44/219,984.01
  6. Step 6: Final answer
    x = 164,747.28

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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.