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Finding the Fourth Proportional to 173,664, 260,493.15 and 55,333.73

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Solution

The fourth proportional to 173,664, 260,493.15 and 55,333.73 is: 82,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,664 : 260,493.15 = 55,333.73 : x
  2. Step 2: Convert to fraction form
    173,664/260,493.15 = 55,333.73/x
  3. Step 3: Cross multiply
    173,664x = 260,493.15 × 55,333.73
  4. Step 4: Simplify right side
    173,664x = 14,414,057,628.95
  5. Step 5: Solve for x
    x = 14,414,057,628.95/173,664
  6. Step 6: Final answer
    x = 82,999.69

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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.