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Finding the Fourth Proportional to 165,080.14, 227,809.72 and 89,628.64

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Solution

The fourth proportional to 165,080.14, 227,809.72 and 89,628.64 is: 123,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,080.14 : 227,809.72 = 89,628.64 : x
  2. Step 2: Convert to fraction form
    165,080.14/227,809.72 = 89,628.64/x
  3. Step 3: Cross multiply
    165,080.14x = 227,809.72 × 89,628.64
  4. Step 4: Simplify right side
    165,080.14x = 20,418,275,382.38
  5. Step 5: Solve for x
    x = 20,418,275,382.38/165,080.14
  6. Step 6: Final answer
    x = 123,687.05

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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.