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Finding the Fourth Proportional to 198,592.37, 274,059.30 and 107,948.54

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Solution

The fourth proportional to 198,592.37, 274,059.30 and 107,948.54 is: 148,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.37 : 274,059.30 = 107,948.54 : x
  2. Step 2: Convert to fraction form
    198,592.37/274,059.30 = 107,948.54/x
  3. Step 3: Cross multiply
    198,592.37x = 274,059.30 × 107,948.54
  4. Step 4: Simplify right side
    198,592.37x = 29,584,301,308.42
  5. Step 5: Solve for x
    x = 29,584,301,308.42/198,592.37
  6. Step 6: Final answer
    x = 148,969.98

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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.