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Finding the Fourth Proportional to 165,009.64, 227,713.46 and 89,558.20

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Solution

The fourth proportional to 165,009.64, 227,713.46 and 89,558.20 is: 123,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,009.64 : 227,713.46 = 89,558.20 : x
  2. Step 2: Convert to fraction form
    165,009.64/227,713.46 = 89,558.20/x
  3. Step 3: Cross multiply
    165,009.64x = 227,713.46 × 89,558.20
  4. Step 4: Simplify right side
    165,009.64x = 20,393,607,593.37
  5. Step 5: Solve for x
    x = 20,393,607,593.37/165,009.64
  6. Step 6: Final answer
    x = 123,590.40

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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.