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Finding the Fourth Proportional to 308,115.27, 462,171.69 and 97,769.61

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Solution

The fourth proportional to 308,115.27, 462,171.69 and 97,769.61 is: 146,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,115.27 : 462,171.69 = 97,769.61 : x
  2. Step 2: Convert to fraction form
    308,115.27/462,171.69 = 97,769.61/x
  3. Step 3: Cross multiply
    308,115.27x = 462,171.69 × 97,769.61
  4. Step 4: Simplify right side
    308,115.27x = 45,186,345,884.34
  5. Step 5: Solve for x
    x = 45,186,345,884.34/308,115.27
  6. Step 6: Final answer
    x = 146,654.03

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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.