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Finding the Fourth Proportional to 205,806.30, 284,025.87 and 115,172.70

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Solution

The fourth proportional to 205,806.30, 284,025.87 and 115,172.70 is: 158,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806.30 : 284,025.87 = 115,172.70 : x
  2. Step 2: Convert to fraction form
    205,806.30/284,025.87 = 115,172.70/x
  3. Step 3: Cross multiply
    205,806.30x = 284,025.87 × 115,172.70
  4. Step 4: Simplify right side
    205,806.30x = 32,712,026,317.75
  5. Step 5: Solve for x
    x = 32,712,026,317.75/205,806.30
  6. Step 6: Final answer
    x = 158,945.70

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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.