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Finding the Fourth Proportional to 206,527.34, 309,794.44 and 56,766.72

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Solution

The fourth proportional to 206,527.34, 309,794.44 and 56,766.72 is: 85,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,527.34 : 309,794.44 = 56,766.72 : x
  2. Step 2: Convert to fraction form
    206,527.34/309,794.44 = 56,766.72/x
  3. Step 3: Cross multiply
    206,527.34x = 309,794.44 × 56,766.72
  4. Step 4: Simplify right side
    206,527.34x = 17,586,014,233.04
  5. Step 5: Solve for x
    x = 17,586,014,233.04/206,527.34
  6. Step 6: Final answer
    x = 85,151.02

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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.