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Finding the Fourth Proportional to 308,065.34, 462,150.55 and 137,348.99

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Solution

The fourth proportional to 308,065.34, 462,150.55 and 137,348.99 is: 206,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,065.34 : 462,150.55 = 137,348.99 : x
  2. Step 2: Convert to fraction form
    308,065.34/462,150.55 = 137,348.99/x
  3. Step 3: Cross multiply
    308,065.34x = 462,150.55 × 137,348.99
  4. Step 4: Simplify right side
    308,065.34x = 63,475,910,583.70
  5. Step 5: Solve for x
    x = 63,475,910,583.70/308,065.34
  6. Step 6: Final answer
    x = 206,046.91

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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.