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Finding the Fourth Proportional to 164,970.88, 227,660.42 and 89,519.38

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Solution

The fourth proportional to 164,970.88, 227,660.42 and 89,519.38 is: 123,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,970.88 : 227,660.42 = 89,519.38 : x
  2. Step 2: Convert to fraction form
    164,970.88/227,660.42 = 89,519.38/x
  3. Step 3: Cross multiply
    164,970.88x = 227,660.42 × 89,519.38
  4. Step 4: Simplify right side
    164,970.88x = 20,380,018,063.04
  5. Step 5: Solve for x
    x = 20,380,018,063.04/164,970.88
  6. Step 6: Final answer
    x = 123,537.07

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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.