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Finding the Fourth Proportional to 206,111.99, 284,352.66 and 128,542.01

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Solution

The fourth proportional to 206,111.99, 284,352.66 and 128,542.01 is: 177,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,111.99 : 284,352.66 = 128,542.01 : x
  2. Step 2: Convert to fraction form
    206,111.99/284,352.66 = 128,542.01/x
  3. Step 3: Cross multiply
    206,111.99x = 284,352.66 × 128,542.01
  4. Step 4: Simplify right side
    206,111.99x = 36,551,261,043.48
  5. Step 5: Solve for x
    x = 36,551,261,043.48/206,111.99
  6. Step 6: Final answer
    x = 177,336.90

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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.