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Finding the Fourth Proportional to 164,705.99, 227,294.34 and 89,254.49

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Solution

The fourth proportional to 164,705.99, 227,294.34 and 89,254.49 is: 123,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,705.99 : 227,294.34 = 89,254.49 : x
  2. Step 2: Convert to fraction form
    164,705.99/227,294.34 = 89,254.49/x
  3. Step 3: Cross multiply
    164,705.99x = 227,294.34 × 89,254.49
  4. Step 4: Simplify right side
    164,705.99x = 20,287,040,396.59
  5. Step 5: Solve for x
    x = 20,287,040,396.59/164,705.99
  6. Step 6: Final answer
    x = 123,171.24

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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.