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Finding the Fourth Proportional to 213,144.92, 294,119 and 117,645.42

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Solution

The fourth proportional to 213,144.92, 294,119 and 117,645.42 is: 162,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144.92 : 294,119 = 117,645.42 : x
  2. Step 2: Convert to fraction form
    213,144.92/294,119 = 117,645.42/x
  3. Step 3: Cross multiply
    213,144.92x = 294,119 × 117,645.42
  4. Step 4: Simplify right side
    213,144.92x = 34,601,753,284.98
  5. Step 5: Solve for x
    x = 34,601,753,284.98/213,144.92
  6. Step 6: Final answer
    x = 162,339.09

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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.