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Finding the Fourth Proportional to 308,066.76, 462,152.68 and 137,350.41

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Solution

The fourth proportional to 308,066.76, 462,152.68 and 137,350.41 is: 206,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,066.76 : 462,152.68 = 137,350.41 : x
  2. Step 2: Convert to fraction form
    308,066.76/462,152.68 = 137,350.41/x
  3. Step 3: Cross multiply
    308,066.76x = 462,152.68 × 137,350.41
  4. Step 4: Simplify right side
    308,066.76x = 63,476,859,393.85
  5. Step 5: Solve for x
    x = 63,476,859,393.85/308,066.76
  6. Step 6: Final answer
    x = 206,049.04

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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.