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Finding the Fourth Proportional to 185,135.73, 277,646.15 and 66,791.67

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Solution

The fourth proportional to 185,135.73, 277,646.15 and 66,791.67 is: 100,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,135.73 : 277,646.15 = 66,791.67 : x
  2. Step 2: Convert to fraction form
    185,135.73/277,646.15 = 66,791.67/x
  3. Step 3: Cross multiply
    185,135.73x = 277,646.15 × 66,791.67
  4. Step 4: Simplify right side
    185,135.73x = 18,544,449,693.61
  5. Step 5: Solve for x
    x = 18,544,449,693.61/185,135.73
  6. Step 6: Final answer
    x = 100,166.78

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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.