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Finding the Fourth Proportional to 308,575.86, 462,874.01 and 106,170.01

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Solution

The fourth proportional to 308,575.86, 462,874.01 and 106,170.01 is: 159,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,575.86 : 462,874.01 = 106,170.01 : x
  2. Step 2: Convert to fraction form
    308,575.86/462,874.01 = 106,170.01/x
  3. Step 3: Cross multiply
    308,575.86x = 462,874.01 × 106,170.01
  4. Step 4: Simplify right side
    308,575.86x = 49,143,338,270.44
  5. Step 5: Solve for x
    x = 49,143,338,270.44/308,575.86
  6. Step 6: Final answer
    x = 159,258.53

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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.