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Finding the Fourth Proportional to 205,354.26, 284,838.66 and 199,892.16

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Solution

The fourth proportional to 205,354.26, 284,838.66 and 199,892.16 is: 277,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,354.26 : 284,838.66 = 199,892.16 : x
  2. Step 2: Convert to fraction form
    205,354.26/284,838.66 = 199,892.16/x
  3. Step 3: Cross multiply
    205,354.26x = 284,838.66 × 199,892.16
  4. Step 4: Simplify right side
    205,354.26x = 56,937,014,998.91
  5. Step 5: Solve for x
    x = 56,937,014,998.91/205,354.26
  6. Step 6: Final answer
    x = 277,262.40

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.