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Finding the Fourth Proportional to 173,666, 260,496.15 and 55,335.73

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Solution

The fourth proportional to 173,666, 260,496.15 and 55,335.73 is: 83,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,666 : 260,496.15 = 55,335.73 : x
  2. Step 2: Convert to fraction form
    173,666/260,496.15 = 55,335.73/x
  3. Step 3: Cross multiply
    173,666x = 260,496.15 × 55,335.73
  4. Step 4: Simplify right side
    173,666x = 14,414,744,622.44
  5. Step 5: Solve for x
    x = 14,414,744,622.44/173,666
  6. Step 6: Final answer
    x = 83,002.69

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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.