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Finding the Fourth Proportional to 308,051.10, 462,076.65 and 168,083.10

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Solution

The fourth proportional to 308,051.10, 462,076.65 and 168,083.10 is: 252,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,051.10 : 462,076.65 = 168,083.10 : x
  2. Step 2: Convert to fraction form
    308,051.10/462,076.65 = 168,083.10/x
  3. Step 3: Cross multiply
    308,051.10x = 462,076.65 × 168,083.10
  4. Step 4: Simplify right side
    308,051.10x = 77,667,275,769.62
  5. Step 5: Solve for x
    x = 77,667,275,769.62/308,051.10
  6. Step 6: Final answer
    x = 252,124.65

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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.