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Finding the Fourth Proportional to 328,772.64, 493,163.84 and 92,100.36

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Solution

The fourth proportional to 328,772.64, 493,163.84 and 92,100.36 is: 138,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,772.64 : 493,163.84 = 92,100.36 : x
  2. Step 2: Convert to fraction form
    328,772.64/493,163.84 = 92,100.36/x
  3. Step 3: Cross multiply
    328,772.64x = 493,163.84 × 92,100.36
  4. Step 4: Simplify right side
    328,772.64x = 45,420,567,202.98
  5. Step 5: Solve for x
    x = 45,420,567,202.98/328,772.64
  6. Step 6: Final answer
    x = 138,151.91

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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.