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Finding the Fourth Proportional to 206,224.80, 309,336.96 and 56,466.24

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Solution

The fourth proportional to 206,224.80, 309,336.96 and 56,466.24 is: 84,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,224.80 : 309,336.96 = 56,466.24 : x
  2. Step 2: Convert to fraction form
    206,224.80/309,336.96 = 56,466.24/x
  3. Step 3: Cross multiply
    206,224.80x = 309,336.96 × 56,466.24
  4. Step 4: Simplify right side
    206,224.80x = 17,467,095,024.23
  5. Step 5: Solve for x
    x = 17,467,095,024.23/206,224.80
  6. Step 6: Final answer
    x = 84,699.29

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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.