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Finding the Fourth Proportional to 164,649.98, 227,216.94 and 89,198.48

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Solution

The fourth proportional to 164,649.98, 227,216.94 and 89,198.48 is: 123,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,649.98 : 227,216.94 = 89,198.48 : x
  2. Step 2: Convert to fraction form
    164,649.98/227,216.94 = 89,198.48/x
  3. Step 3: Cross multiply
    164,649.98x = 227,216.94 × 89,198.48
  4. Step 4: Simplify right side
    164,649.98x = 20,267,405,678.25
  5. Step 5: Solve for x
    x = 20,267,405,678.25/164,649.98
  6. Step 6: Final answer
    x = 123,093.88

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1.5x scale

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.