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Finding the Fourth Proportional to 217,967.94, 326,753.87 and 194,348.34

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Solution

The fourth proportional to 217,967.94, 326,753.87 and 194,348.34 is: 291,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,967.94 : 326,753.87 = 194,348.34 : x
  2. Step 2: Convert to fraction form
    217,967.94/326,753.87 = 194,348.34/x
  3. Step 3: Cross multiply
    217,967.94x = 326,753.87 × 194,348.34
  4. Step 4: Simplify right side
    217,967.94x = 63,504,071,251.33
  5. Step 5: Solve for x
    x = 63,504,071,251.33/217,967.94
  6. Step 6: Final answer
    x = 291,345.93

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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.