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Finding the Fourth Proportional to 164,470.56, 226,973.52 and 100,843.44

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Solution

The fourth proportional to 164,470.56, 226,973.52 and 100,843.44 is: 139,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,470.56 : 226,973.52 = 100,843.44 : x
  2. Step 2: Convert to fraction form
    164,470.56/226,973.52 = 100,843.44/x
  3. Step 3: Cross multiply
    164,470.56x = 226,973.52 × 100,843.44
  4. Step 4: Simplify right side
    164,470.56x = 22,888,790,545.71
  5. Step 5: Solve for x
    x = 22,888,790,545.71/164,470.56
  6. Step 6: Final answer
    x = 139,166.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.