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Finding the Fourth Proportional to 148,912.52, 205,493.64 and 85,256.24

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Solution

The fourth proportional to 148,912.52, 205,493.64 and 85,256.24 is: 117,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,912.52 : 205,493.64 = 85,256.24 : x
  2. Step 2: Convert to fraction form
    148,912.52/205,493.64 = 85,256.24/x
  3. Step 3: Cross multiply
    148,912.52x = 205,493.64 × 85,256.24
  4. Step 4: Simplify right side
    148,912.52x = 17,519,615,090.31
  5. Step 5: Solve for x
    x = 17,519,615,090.31/148,912.52
  6. Step 6: Final answer
    x = 117,650.38

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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.