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Finding the Fourth Proportional to 234,493.83, 351,740.90 and 164,684.79

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Solution

The fourth proportional to 234,493.83, 351,740.90 and 164,684.79 is: 247,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,493.83 : 351,740.90 = 164,684.79 : x
  2. Step 2: Convert to fraction form
    234,493.83/351,740.90 = 164,684.79/x
  3. Step 3: Cross multiply
    234,493.83x = 351,740.90 × 164,684.79
  4. Step 4: Simplify right side
    234,493.83x = 57,926,375,427.49
  5. Step 5: Solve for x
    x = 57,926,375,427.49/234,493.83
  6. Step 6: Final answer
    x = 247,027.29

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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.