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Finding the Fourth Proportional to 164,644.48, 227,209.35 and 89,192.98

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Solution

The fourth proportional to 164,644.48, 227,209.35 and 89,192.98 is: 123,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,644.48 : 227,209.35 = 89,192.98 : x
  2. Step 2: Convert to fraction form
    164,644.48/227,209.35 = 89,192.98/x
  3. Step 3: Cross multiply
    164,644.48x = 227,209.35 × 89,192.98
  4. Step 4: Simplify right side
    164,644.48x = 20,265,479,010.36
  5. Step 5: Solve for x
    x = 20,265,479,010.36/164,644.48
  6. Step 6: Final answer
    x = 123,086.29

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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.