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Finding the Fourth Proportional to 205,869.88, 284,101.86 and 115,234.21

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Solution

The fourth proportional to 205,869.88, 284,101.86 and 115,234.21 is: 159,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,869.88 : 284,101.86 = 115,234.21 : x
  2. Step 2: Convert to fraction form
    205,869.88/284,101.86 = 115,234.21/x
  3. Step 3: Cross multiply
    205,869.88x = 284,101.86 × 115,234.21
  4. Step 4: Simplify right side
    205,869.88x = 32,738,253,396.63
  5. Step 5: Solve for x
    x = 32,738,253,396.63/205,869.88
  6. Step 6: Final answer
    x = 159,024.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.