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Finding the Fourth Proportional to 219,759.33, 303,269.70 and 119,157.33

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Solution

The fourth proportional to 219,759.33, 303,269.70 and 119,157.33 is: 164,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,759.33 : 303,269.70 = 119,157.33 : x
  2. Step 2: Convert to fraction form
    219,759.33/303,269.70 = 119,157.33/x
  3. Step 3: Cross multiply
    219,759.33x = 303,269.70 × 119,157.33
  4. Step 4: Simplify right side
    219,759.33x = 36,136,806,594.72
  5. Step 5: Solve for x
    x = 36,136,806,594.72/219,759.33
  6. Step 6: Final answer
    x = 164,438.10

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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.