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Finding the Fourth Proportional to 136,857.96, 205,091.46 and 61,791.66

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Solution

The fourth proportional to 136,857.96, 205,091.46 and 61,791.66 is: 92,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,857.96 : 205,091.46 = 61,791.66 : x
  2. Step 2: Convert to fraction form
    136,857.96/205,091.46 = 61,791.66/x
  3. Step 3: Cross multiply
    136,857.96x = 205,091.46 × 61,791.66
  4. Step 4: Simplify right side
    136,857.96x = 12,672,941,765.22
  5. Step 5: Solve for x
    x = 12,672,941,765.22/136,857.96
  6. Step 6: Final answer
    x = 92,599.23

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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.