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Finding the Fourth Proportional to 232,684.38, 321,226.90 and 156,603.44

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Solution

The fourth proportional to 232,684.38, 321,226.90 and 156,603.44 is: 216,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,684.38 : 321,226.90 = 156,603.44 : x
  2. Step 2: Convert to fraction form
    232,684.38/321,226.90 = 156,603.44/x
  3. Step 3: Cross multiply
    232,684.38x = 321,226.90 × 156,603.44
  4. Step 4: Simplify right side
    232,684.38x = 50,305,237,277.59
  5. Step 5: Solve for x
    x = 50,305,237,277.59/232,684.38
  6. Step 6: Final answer
    x = 216,195.16

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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.