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Finding the Fourth Proportional to 164,336.50, 246,541.67 and 52,023.45

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Solution

The fourth proportional to 164,336.50, 246,541.67 and 52,023.45 is: 78,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,336.50 : 246,541.67 = 52,023.45 : x
  2. Step 2: Convert to fraction form
    164,336.50/246,541.67 = 52,023.45/x
  3. Step 3: Cross multiply
    164,336.50x = 246,541.67 × 52,023.45
  4. Step 4: Simplify right side
    164,336.50x = 12,825,948,372.22
  5. Step 5: Solve for x
    x = 12,825,948,372.22/164,336.50
  6. Step 6: Final answer
    x = 78,046.86

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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.