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Finding the Fourth Proportional to 308,493.34, 462,750.26 and 106,087.46

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Solution

The fourth proportional to 308,493.34, 462,750.26 and 106,087.46 is: 159,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,493.34 : 462,750.26 = 106,087.46 : x
  2. Step 2: Convert to fraction form
    308,493.34/462,750.26 = 106,087.46/x
  3. Step 3: Cross multiply
    308,493.34x = 462,750.26 × 106,087.46
  4. Step 4: Simplify right side
    308,493.34x = 49,092,000,080.27
  5. Step 5: Solve for x
    x = 49,092,000,080.27/308,493.34
  6. Step 6: Final answer
    x = 159,134.71

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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.