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Finding the Fourth Proportional to 308,844.30, 463,266.45 and 109,163.10

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Solution

The fourth proportional to 308,844.30, 463,266.45 and 109,163.10 is: 163,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,844.30 : 463,266.45 = 109,163.10 : x
  2. Step 2: Convert to fraction form
    308,844.30/463,266.45 = 109,163.10/x
  3. Step 3: Cross multiply
    308,844.30x = 463,266.45 × 109,163.10
  4. Step 4: Simplify right side
    308,844.30x = 50,571,601,808.00
  5. Step 5: Solve for x
    x = 50,571,601,808.00/308,844.30
  6. Step 6: Final answer
    x = 163,744.65

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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.