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Finding the Fourth Proportional to 308,065.13, 462,150.24 and 137,348.79

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Solution

The fourth proportional to 308,065.13, 462,150.24 and 137,348.79 is: 206,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,065.13 : 462,150.24 = 137,348.79 : x
  2. Step 2: Convert to fraction form
    308,065.13/462,150.24 = 137,348.79/x
  3. Step 3: Cross multiply
    308,065.13x = 462,150.24 × 137,348.79
  4. Step 4: Simplify right side
    308,065.13x = 63,475,774,014.09
  5. Step 5: Solve for x
    x = 63,475,774,014.09/308,065.13
  6. Step 6: Final answer
    x = 206,046.61

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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.