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Finding the Fourth Proportional to 206,220.30, 309,330.21 and 56,461.74

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Solution

The fourth proportional to 206,220.30, 309,330.21 and 56,461.74 is: 84,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,220.30 : 309,330.21 = 56,461.74 : x
  2. Step 2: Convert to fraction form
    206,220.30/309,330.21 = 56,461.74/x
  3. Step 3: Cross multiply
    206,220.30x = 309,330.21 × 56,461.74
  4. Step 4: Simplify right side
    206,220.30x = 17,465,321,891.17
  5. Step 5: Solve for x
    x = 17,465,321,891.17/206,220.30
  6. Step 6: Final answer
    x = 84,692.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.