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Finding the Fourth Proportional to 164,645.26, 246,964.14 and 75,898.62

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Solution

The fourth proportional to 164,645.26, 246,964.14 and 75,898.62 is: 113,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,645.26 : 246,964.14 = 75,898.62 : x
  2. Step 2: Convert to fraction form
    164,645.26/246,964.14 = 75,898.62/x
  3. Step 3: Cross multiply
    164,645.26x = 246,964.14 × 75,898.62
  4. Step 4: Simplify right side
    164,645.26x = 18,744,237,415.49
  5. Step 5: Solve for x
    x = 18,744,237,415.49/164,645.26
  6. Step 6: Final answer
    x = 113,846.20

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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.