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Finding the Fourth Proportional to 164,654.80, 227,223.86 and 89,203.30

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Solution

The fourth proportional to 164,654.80, 227,223.86 and 89,203.30 is: 123,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,654.80 : 227,223.86 = 89,203.30 : x
  2. Step 2: Convert to fraction form
    164,654.80/227,223.86 = 89,203.30/x
  3. Step 3: Cross multiply
    164,654.80x = 227,223.86 × 89,203.30
  4. Step 4: Simplify right side
    164,654.80x = 20,269,118,607.29
  5. Step 5: Solve for x
    x = 20,269,118,607.29/164,654.80
  6. Step 6: Final answer
    x = 123,100.68

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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.