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Finding the Fourth Proportional to 205,376.15, 284,869.05 and 199,914.12

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Solution

The fourth proportional to 205,376.15, 284,869.05 and 199,914.12 is: 277,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.15 : 284,869.05 = 199,914.12 : x
  2. Step 2: Convert to fraction form
    205,376.15/284,869.05 = 199,914.12/x
  3. Step 3: Cross multiply
    205,376.15x = 284,869.05 × 199,914.12
  4. Step 4: Simplify right side
    205,376.15x = 56,949,343,521.86
  5. Step 5: Solve for x
    x = 56,949,343,521.86/205,376.15
  6. Step 6: Final answer
    x = 277,292.88

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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.