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Finding the Fourth Proportional to 234,205.75, 323,247.72 and 133,603.75

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Solution

The fourth proportional to 234,205.75, 323,247.72 and 133,603.75 is: 184,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,205.75 : 323,247.72 = 133,603.75 : x
  2. Step 2: Convert to fraction form
    234,205.75/323,247.72 = 133,603.75/x
  3. Step 3: Cross multiply
    234,205.75x = 323,247.72 × 133,603.75
  4. Step 4: Simplify right side
    234,205.75x = 43,187,107,570.95
  5. Step 5: Solve for x
    x = 43,187,107,570.95/234,205.75
  6. Step 6: Final answer
    x = 184,398.15

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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.