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Finding the Fourth Proportional to 165,164.64, 227,927.42 and 89,713.14

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Solution

The fourth proportional to 165,164.64, 227,927.42 and 89,713.14 is: 123,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.64 : 227,927.42 = 89,713.14 : x
  2. Step 2: Convert to fraction form
    165,164.64/227,927.42 = 89,713.14/x
  3. Step 3: Cross multiply
    165,164.64x = 227,927.42 × 89,713.14
  4. Step 4: Simplify right side
    165,164.64x = 20,448,084,540.30
  5. Step 5: Solve for x
    x = 20,448,084,540.30/165,164.64
  6. Step 6: Final answer
    x = 123,804.25

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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.