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Finding the Fourth Proportional to 308,493.91, 462,751.10 and 106,088.03

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Solution

The fourth proportional to 308,493.91, 462,751.10 and 106,088.03 is: 159,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,493.91 : 462,751.10 = 106,088.03 : x
  2. Step 2: Convert to fraction form
    308,493.91/462,751.10 = 106,088.03/x
  3. Step 3: Cross multiply
    308,493.91x = 462,751.10 × 106,088.03
  4. Step 4: Simplify right side
    308,493.91x = 49,092,350,530.80
  5. Step 5: Solve for x
    x = 49,092,350,530.80/308,493.91
  6. Step 6: Final answer
    x = 159,135.56

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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.