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Finding the Fourth Proportional to 164,564.30, 246,648 and 75,695.96

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Solution

The fourth proportional to 164,564.30, 246,648 and 75,695.96 is: 113,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,564.30 : 246,648 = 75,695.96 : x
  2. Step 2: Convert to fraction form
    164,564.30/246,648 = 75,695.96/x
  3. Step 3: Cross multiply
    164,564.30x = 246,648 × 75,695.96
  4. Step 4: Simplify right side
    164,564.30x = 18,670,257,142.08
  5. Step 5: Solve for x
    x = 18,670,257,142.08/164,564.30
  6. Step 6: Final answer
    x = 113,452.66

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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.