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Finding the Fourth Proportional to 206,142.66, 309,209.62 and 56,382.96

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Solution

The fourth proportional to 206,142.66, 309,209.62 and 56,382.96 is: 84,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.66 : 309,209.62 = 56,382.96 : x
  2. Step 2: Convert to fraction form
    206,142.66/309,209.62 = 56,382.96/x
  3. Step 3: Cross multiply
    206,142.66x = 309,209.62 × 56,382.96
  4. Step 4: Simplify right side
    206,142.66x = 17,434,153,636.08
  5. Step 5: Solve for x
    x = 17,434,153,636.08/206,142.66
  6. Step 6: Final answer
    x = 84,573.24

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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.