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Finding the Fourth Proportional to 308,236.77, 462,353.94 and 97,891.11

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Solution

The fourth proportional to 308,236.77, 462,353.94 and 97,891.11 is: 146,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,236.77 : 462,353.94 = 97,891.11 : x
  2. Step 2: Convert to fraction form
    308,236.77/462,353.94 = 97,891.11/x
  3. Step 3: Cross multiply
    308,236.77x = 462,353.94 × 97,891.11
  4. Step 4: Simplify right side
    308,236.77x = 45,260,340,399.47
  5. Step 5: Solve for x
    x = 45,260,340,399.47/308,236.77
  6. Step 6: Final answer
    x = 146,836.28

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Why These Related Problems?

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