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Finding the Fourth Proportional to 198,605.77, 274,009.26 and 112,558

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Solution

The fourth proportional to 198,605.77, 274,009.26 and 112,558 is: 155,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605.77 : 274,009.26 = 112,558 : x
  2. Step 2: Convert to fraction form
    198,605.77/274,009.26 = 112,558/x
  3. Step 3: Cross multiply
    198,605.77x = 274,009.26 × 112,558
  4. Step 4: Simplify right side
    198,605.77x = 30,841,934,287.08
  5. Step 5: Solve for x
    x = 30,841,934,287.08/198,605.77
  6. Step 6: Final answer
    x = 155,292.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.