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Finding the Fourth Proportional to 164,653.26, 227,221.41 and 89,201.76

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Solution

The fourth proportional to 164,653.26, 227,221.41 and 89,201.76 is: 123,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,653.26 : 227,221.41 = 89,201.76 : x
  2. Step 2: Convert to fraction form
    164,653.26/227,221.41 = 89,201.76/x
  3. Step 3: Cross multiply
    164,653.26x = 227,221.41 × 89,201.76
  4. Step 4: Simplify right side
    164,653.26x = 20,268,549,681.68
  5. Step 5: Solve for x
    x = 20,268,549,681.68/164,653.26
  6. Step 6: Final answer
    x = 123,098.38

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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.