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Finding the Fourth Proportional to 308,500.65, 462,761.22 and 106,094.76

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Solution

The fourth proportional to 308,500.65, 462,761.22 and 106,094.76 is: 159,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,500.65 : 462,761.22 = 106,094.76 : x
  2. Step 2: Convert to fraction form
    308,500.65/462,761.22 = 106,094.76/x
  3. Step 3: Cross multiply
    308,500.65x = 462,761.22 × 106,094.76
  4. Step 4: Simplify right side
    308,500.65x = 49,096,540,573.21
  5. Step 5: Solve for x
    x = 49,096,540,573.21/308,500.65
  6. Step 6: Final answer
    x = 159,145.66

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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.