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Finding the Fourth Proportional to 308,610.12, 462,966.48 and 106,198.14

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Solution

The fourth proportional to 308,610.12, 462,966.48 and 106,198.14 is: 159,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,610.12 : 462,966.48 = 106,198.14 : x
  2. Step 2: Convert to fraction form
    308,610.12/462,966.48 = 106,198.14/x
  3. Step 3: Cross multiply
    308,610.12x = 462,966.48 × 106,198.14
  4. Step 4: Simplify right side
    308,610.12x = 49,166,179,058.35
  5. Step 5: Solve for x
    x = 49,166,179,058.35/308,610.12
  6. Step 6: Final answer
    x = 159,314.86

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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.