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Finding the Fourth Proportional to 110,141.91, 165,192.95 and 50,156.45

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Solution

The fourth proportional to 110,141.91, 165,192.95 and 50,156.45 is: 75,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,141.91 : 165,192.95 = 50,156.45 : x
  2. Step 2: Convert to fraction form
    110,141.91/165,192.95 = 50,156.45/x
  3. Step 3: Cross multiply
    110,141.91x = 165,192.95 × 50,156.45
  4. Step 4: Simplify right side
    110,141.91x = 8,285,491,855.93
  5. Step 5: Solve for x
    x = 8,285,491,855.93/110,141.91
  6. Step 6: Final answer
    x = 75,225.61

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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.