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Finding the Fourth Proportional to 299,969.98, 413,957.64 and 164,003.74

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Solution

The fourth proportional to 299,969.98, 413,957.64 and 164,003.74 is: 226,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,969.98 : 413,957.64 = 164,003.74 : x
  2. Step 2: Convert to fraction form
    299,969.98/413,957.64 = 164,003.74/x
  3. Step 3: Cross multiply
    299,969.98x = 413,957.64 × 164,003.74
  4. Step 4: Simplify right side
    299,969.98x = 67,890,599,819.17
  5. Step 5: Solve for x
    x = 67,890,599,819.17/299,969.98
  6. Step 6: Final answer
    x = 226,324.64

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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.