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Finding the Fourth Proportional to 165,114.27, 227,858.54 and 89,662.77

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Solution

The fourth proportional to 165,114.27, 227,858.54 and 89,662.77 is: 123,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,114.27 : 227,858.54 = 89,662.77 : x
  2. Step 2: Convert to fraction form
    165,114.27/227,858.54 = 89,662.77/x
  3. Step 3: Cross multiply
    165,114.27x = 227,858.54 × 89,662.77
  4. Step 4: Simplify right side
    165,114.27x = 20,430,427,864.56
  5. Step 5: Solve for x
    x = 20,430,427,864.56/165,114.27
  6. Step 6: Final answer
    x = 123,735.08

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1.5x scale

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.