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Finding the Fourth Proportional to 219,907.41, 303,472.22 and 119,305.41

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Solution

The fourth proportional to 219,907.41, 303,472.22 and 119,305.41 is: 164,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,907.41 : 303,472.22 = 119,305.41 : x
  2. Step 2: Convert to fraction form
    219,907.41/303,472.22 = 119,305.41/x
  3. Step 3: Cross multiply
    219,907.41x = 303,472.22 × 119,305.41
  4. Step 4: Simplify right side
    219,907.41x = 36,205,876,567.26
  5. Step 5: Solve for x
    x = 36,205,876,567.26/219,907.41
  6. Step 6: Final answer
    x = 164,641.46

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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.