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Finding the Fourth Proportional to 183,261.92, 274,860.40 and 83,398.88

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Solution

The fourth proportional to 183,261.92, 274,860.40 and 83,398.88 is: 125,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,261.92 : 274,860.40 = 83,398.88 : x
  2. Step 2: Convert to fraction form
    183,261.92/274,860.40 = 83,398.88/x
  3. Step 3: Cross multiply
    183,261.92x = 274,860.40 × 83,398.88
  4. Step 4: Simplify right side
    183,261.92x = 22,923,049,516.35
  5. Step 5: Solve for x
    x = 22,923,049,516.35/183,261.92
  6. Step 6: Final answer
    x = 125,083.54

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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.