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Finding the Fourth Proportional to 198,598.39, 274,059.95 and 107,952.03

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Solution

The fourth proportional to 198,598.39, 274,059.95 and 107,952.03 is: 148,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.39 : 274,059.95 = 107,952.03 : x
  2. Step 2: Convert to fraction form
    198,598.39/274,059.95 = 107,952.03/x
  3. Step 3: Cross multiply
    198,598.39x = 274,059.95 × 107,952.03
  4. Step 4: Simplify right side
    198,598.39x = 29,585,326,034.14
  5. Step 5: Solve for x
    x = 29,585,326,034.14/198,598.39
  6. Step 6: Final answer
    x = 148,970.62

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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.