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Finding the Fourth Proportional to 541,086.50, 811,763.40 and 167,109.50

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Solution

The fourth proportional to 541,086.50, 811,763.40 and 167,109.50 is: 250,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,086.50 : 811,763.40 = 167,109.50 : x
  2. Step 2: Convert to fraction form
    541,086.50/811,763.40 = 167,109.50/x
  3. Step 3: Cross multiply
    541,086.50x = 811,763.40 × 167,109.50
  4. Step 4: Simplify right side
    541,086.50x = 135,653,375,892.30
  5. Step 5: Solve for x
    x = 135,653,375,892.30/541,086.50
  6. Step 6: Final answer
    x = 250,705.53

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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.