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Finding the Fourth Proportional to 164,158.68, 226,541.62 and 92,542.20

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Solution

The fourth proportional to 164,158.68, 226,541.62 and 92,542.20 is: 127,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,158.68 : 226,541.62 = 92,542.20 : x
  2. Step 2: Convert to fraction form
    164,158.68/226,541.62 = 92,542.20/x
  3. Step 3: Cross multiply
    164,158.68x = 226,541.62 × 92,542.20
  4. Step 4: Simplify right side
    164,158.68x = 20,964,659,906.36
  5. Step 5: Solve for x
    x = 20,964,659,906.36/164,158.68
  6. Step 6: Final answer
    x = 127,709.73

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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.