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Finding the Fourth Proportional to 148,696.36, 205,213.20 and 85,046.44

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Solution

The fourth proportional to 148,696.36, 205,213.20 and 85,046.44 is: 117,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,696.36 : 205,213.20 = 85,046.44 : x
  2. Step 2: Convert to fraction form
    148,696.36/205,213.20 = 85,046.44/x
  3. Step 3: Cross multiply
    148,696.36x = 205,213.20 × 85,046.44
  4. Step 4: Simplify right side
    148,696.36x = 17,452,652,101.01
  5. Step 5: Solve for x
    x = 17,452,652,101.01/148,696.36
  6. Step 6: Final answer
    x = 117,371.08

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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.