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Finding the Fourth Proportional to 219,761.44, 303,269.52 and 119,157.28

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Solution

The fourth proportional to 219,761.44, 303,269.52 and 119,157.28 is: 164,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,761.44 : 303,269.52 = 119,157.28 : x
  2. Step 2: Convert to fraction form
    219,761.44/303,269.52 = 119,157.28/x
  3. Step 3: Cross multiply
    219,761.44x = 303,269.52 × 119,157.28
  4. Step 4: Simplify right side
    219,761.44x = 36,136,771,110.11
  5. Step 5: Solve for x
    x = 36,136,771,110.11/219,761.44
  6. Step 6: Final answer
    x = 164,436.36

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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.