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Finding the Fourth Proportional to 308,857.80, 463,286.70 and 109,184.70

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Solution

The fourth proportional to 308,857.80, 463,286.70 and 109,184.70 is: 163,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,857.80 : 463,286.70 = 109,184.70 : x
  2. Step 2: Convert to fraction form
    308,857.80/463,286.70 = 109,184.70/x
  3. Step 3: Cross multiply
    308,857.80x = 463,286.70 × 109,184.70
  4. Step 4: Simplify right side
    308,857.80x = 50,583,819,353.49
  5. Step 5: Solve for x
    x = 50,583,819,353.49/308,857.80
  6. Step 6: Final answer
    x = 163,777.05

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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.