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Finding the Fourth Proportional to 206,528.76, 309,733.56 and 56,773.94

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Solution

The fourth proportional to 206,528.76, 309,733.56 and 56,773.94 is: 85,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,528.76 : 309,733.56 = 56,773.94 : x
  2. Step 2: Convert to fraction form
    206,528.76/309,733.56 = 56,773.94/x
  3. Step 3: Cross multiply
    206,528.76x = 309,733.56 × 56,773.94
  4. Step 4: Simplify right side
    206,528.76x = 17,584,793,002.76
  5. Step 5: Solve for x
    x = 17,584,793,002.76/206,528.76
  6. Step 6: Final answer
    x = 85,144.52

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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.