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Finding the Fourth Proportional to 275,036.56, 412,468.44 and 106,545.22

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Solution

The fourth proportional to 275,036.56, 412,468.44 and 106,545.22 is: 159,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,036.56 : 412,468.44 = 106,545.22 : x
  2. Step 2: Convert to fraction form
    275,036.56/412,468.44 = 106,545.22/x
  3. Step 3: Cross multiply
    275,036.56x = 412,468.44 × 106,545.22
  4. Step 4: Simplify right side
    275,036.56x = 43,946,540,682.86
  5. Step 5: Solve for x
    x = 43,946,540,682.86/275,036.56
  6. Step 6: Final answer
    x = 159,784.36

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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.