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Finding the Fourth Proportional to 164,829.92, 226,963.68 and 149,630.24

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Solution

The fourth proportional to 164,829.92, 226,963.68 and 149,630.24 is: 206,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,829.92 : 226,963.68 = 149,630.24 : x
  2. Step 2: Convert to fraction form
    164,829.92/226,963.68 = 149,630.24/x
  3. Step 3: Cross multiply
    164,829.92x = 226,963.68 × 149,630.24
  4. Step 4: Simplify right side
    164,829.92x = 33,960,629,909.68
  5. Step 5: Solve for x
    x = 33,960,629,909.68/164,829.92
  6. Step 6: Final answer
    x = 206,034.38

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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.