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Finding the Fourth Proportional to 165,014.72, 227,720.52 and 89,563.24

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Solution

The fourth proportional to 165,014.72, 227,720.52 and 89,563.24 is: 123,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,014.72 : 227,720.52 = 89,563.24 : x
  2. Step 2: Convert to fraction form
    165,014.72/227,720.52 = 89,563.24/x
  3. Step 3: Cross multiply
    165,014.72x = 227,720.52 × 89,563.24
  4. Step 4: Simplify right side
    165,014.72x = 20,395,387,585.68
  5. Step 5: Solve for x
    x = 20,395,387,585.68/165,014.72
  6. Step 6: Final answer
    x = 123,597.38

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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.