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Finding the Fourth Proportional to 205,680.32, 308,168.40 and 112,251.68

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Solution

The fourth proportional to 205,680.32, 308,168.40 and 112,251.68 is: 168,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,680.32 : 308,168.40 = 112,251.68 : x
  2. Step 2: Convert to fraction form
    205,680.32/308,168.40 = 112,251.68/x
  3. Step 3: Cross multiply
    205,680.32x = 308,168.40 × 112,251.68
  4. Step 4: Simplify right side
    205,680.32x = 34,592,420,622.91
  5. Step 5: Solve for x
    x = 34,592,420,622.91/205,680.32
  6. Step 6: Final answer
    x = 168,185.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.