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Finding the Fourth Proportional to 165,029.52, 227,741.22 and 89,578.02

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Solution

The fourth proportional to 165,029.52, 227,741.22 and 89,578.02 is: 123,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,029.52 : 227,741.22 = 89,578.02 : x
  2. Step 2: Convert to fraction form
    165,029.52/227,741.22 = 89,578.02/x
  3. Step 3: Cross multiply
    165,029.52x = 227,741.22 × 89,578.02
  4. Step 4: Simplify right side
    165,029.52x = 20,400,607,559.98
  5. Step 5: Solve for x
    x = 20,400,607,559.98/165,029.52
  6. Step 6: Final answer
    x = 123,617.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.