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Finding the Fourth Proportional to 206,599.06, 309,857.79 and 56,800.72

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Solution

The fourth proportional to 206,599.06, 309,857.79 and 56,800.72 is: 85,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.06 : 309,857.79 = 56,800.72 : x
  2. Step 2: Convert to fraction form
    206,599.06/309,857.79 = 56,800.72/x
  3. Step 3: Cross multiply
    206,599.06x = 309,857.79 × 56,800.72
  4. Step 4: Simplify right side
    206,599.06x = 17,600,145,569.61
  5. Step 5: Solve for x
    x = 17,600,145,569.61/206,599.06
  6. Step 6: Final answer
    x = 85,189.86

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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.