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Finding the Fourth Proportional to 194,906.60, 292,133.10 and 89,736.20

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Solution

The fourth proportional to 194,906.60, 292,133.10 and 89,736.20 is: 134,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.60 : 292,133.10 = 89,736.20 : x
  2. Step 2: Convert to fraction form
    194,906.60/292,133.10 = 89,736.20/x
  3. Step 3: Cross multiply
    194,906.60x = 292,133.10 × 89,736.20
  4. Step 4: Simplify right side
    194,906.60x = 26,214,914,288.22
  5. Step 5: Solve for x
    x = 26,214,914,288.22/194,906.60
  6. Step 6: Final answer
    x = 134,499.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.