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Finding the Fourth Proportional to 206,151.60, 284,485.08 and 115,506.48

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Solution

The fourth proportional to 206,151.60, 284,485.08 and 115,506.48 is: 159,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,151.60 : 284,485.08 = 115,506.48 : x
  2. Step 2: Convert to fraction form
    206,151.60/284,485.08 = 115,506.48/x
  3. Step 3: Cross multiply
    206,151.60x = 284,485.08 × 115,506.48
  4. Step 4: Simplify right side
    206,151.60x = 32,859,870,203.32
  5. Step 5: Solve for x
    x = 32,859,870,203.32/206,151.60
  6. Step 6: Final answer
    x = 159,396.63

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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.