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Finding the Fourth Proportional to 165,191.73, 227,945.22 and 97,193.73

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Solution

The fourth proportional to 165,191.73, 227,945.22 and 97,193.73 is: 134,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,191.73 : 227,945.22 = 97,193.73 : x
  2. Step 2: Convert to fraction form
    165,191.73/227,945.22 = 97,193.73/x
  3. Step 3: Cross multiply
    165,191.73x = 227,945.22 × 97,193.73
  4. Step 4: Simplify right side
    165,191.73x = 22,154,846,167.47
  5. Step 5: Solve for x
    x = 22,154,846,167.47/165,191.73
  6. Step 6: Final answer
    x = 134,115.95

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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.