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Finding the Fourth Proportional to 220,196.09, 303,872.16 and 119,594.09

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Solution

The fourth proportional to 220,196.09, 303,872.16 and 119,594.09 is: 165,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,196.09 : 303,872.16 = 119,594.09 : x
  2. Step 2: Convert to fraction form
    220,196.09/303,872.16 = 119,594.09/x
  3. Step 3: Cross multiply
    220,196.09x = 303,872.16 × 119,594.09
  4. Step 4: Simplify right side
    220,196.09x = 36,341,312,932.17
  5. Step 5: Solve for x
    x = 36,341,312,932.17/220,196.09
  6. Step 6: Final answer
    x = 165,040.69

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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.