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Finding the Fourth Proportional to 202,436.20, 279,359.04 and 111,796

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Solution

The fourth proportional to 202,436.20, 279,359.04 and 111,796 is: 154,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436.20 : 279,359.04 = 111,796 : x
  2. Step 2: Convert to fraction form
    202,436.20/279,359.04 = 111,796/x
  3. Step 3: Cross multiply
    202,436.20x = 279,359.04 × 111,796
  4. Step 4: Simplify right side
    202,436.20x = 31,231,223,235.84
  5. Step 5: Solve for x
    x = 31,231,223,235.84/202,436.20
  6. Step 6: Final answer
    x = 154,276.87

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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.