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Finding the Fourth Proportional to 122,801.38, 184,194.56 and 72,228.38

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Solution

The fourth proportional to 122,801.38, 184,194.56 and 72,228.38 is: 108,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,801.38 : 184,194.56 = 72,228.38 : x
  2. Step 2: Convert to fraction form
    122,801.38/184,194.56 = 72,228.38/x
  3. Step 3: Cross multiply
    122,801.38x = 184,194.56 × 72,228.38
  4. Step 4: Simplify right side
    122,801.38x = 13,304,073,526.93
  5. Step 5: Solve for x
    x = 13,304,073,526.93/122,801.38
  6. Step 6: Final answer
    x = 108,338.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.