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Finding the Fourth Proportional to 164,496.48, 226,996.56 and 96,504

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Solution

The fourth proportional to 164,496.48, 226,996.56 and 96,504 is: 133,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,496.48 : 226,996.56 = 96,504 : x
  2. Step 2: Convert to fraction form
    164,496.48/226,996.56 = 96,504/x
  3. Step 3: Cross multiply
    164,496.48x = 226,996.56 × 96,504
  4. Step 4: Simplify right side
    164,496.48x = 21,906,076,026.24
  5. Step 5: Solve for x
    x = 21,906,076,026.24/164,496.48
  6. Step 6: Final answer
    x = 133,170.49

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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.