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Finding the Fourth Proportional to 165,198.32, 227,973.88 and 89,746.82

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Solution

The fourth proportional to 165,198.32, 227,973.88 and 89,746.82 is: 123,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,198.32 : 227,973.88 = 89,746.82 : x
  2. Step 2: Convert to fraction form
    165,198.32/227,973.88 = 89,746.82/x
  3. Step 3: Cross multiply
    165,198.32x = 227,973.88 × 89,746.82
  4. Step 4: Simplify right side
    165,198.32x = 20,459,929,184.46
  5. Step 5: Solve for x
    x = 20,459,929,184.46/165,198.32
  6. Step 6: Final answer
    x = 123,850.71

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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.