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Finding the Fourth Proportional to 206,461.50, 309,691.66 and 56,701.93

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Solution

The fourth proportional to 206,461.50, 309,691.66 and 56,701.93 is: 85,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,461.50 : 309,691.66 = 56,701.93 : x
  2. Step 2: Convert to fraction form
    206,461.50/309,691.66 = 56,701.93/x
  3. Step 3: Cross multiply
    206,461.50x = 309,691.66 × 56,701.93
  4. Step 4: Simplify right side
    206,461.50x = 17,560,113,910.92
  5. Step 5: Solve for x
    x = 17,560,113,910.92/206,461.50
  6. Step 6: Final answer
    x = 85,052.73

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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.