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Finding the Fourth Proportional to 165,165.14, 227,928.11 and 89,713.64

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Solution

The fourth proportional to 165,165.14, 227,928.11 and 89,713.64 is: 123,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,165.14 : 227,928.11 = 89,713.64 : x
  2. Step 2: Convert to fraction form
    165,165.14/227,928.11 = 89,713.64/x
  3. Step 3: Cross multiply
    165,165.14x = 227,928.11 × 89,713.64
  4. Step 4: Simplify right side
    165,165.14x = 20,448,258,818.21
  5. Step 5: Solve for x
    x = 20,448,258,818.21/165,165.14
  6. Step 6: Final answer
    x = 123,804.94

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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.