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Finding the Fourth Proportional to 206,782.46, 310,215.20 and 94,432.49

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Solution

The fourth proportional to 206,782.46, 310,215.20 and 94,432.49 is: 141,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.46 : 310,215.20 = 94,432.49 : x
  2. Step 2: Convert to fraction form
    206,782.46/310,215.20 = 94,432.49/x
  3. Step 3: Cross multiply
    206,782.46x = 310,215.20 × 94,432.49
  4. Step 4: Simplify right side
    206,782.46x = 29,294,393,771.85
  5. Step 5: Solve for x
    x = 29,294,393,771.85/206,782.46
  6. Step 6: Final answer
    x = 141,667.69

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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.