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Finding the Fourth Proportional to 206,754.30, 285,298.74 and 116,120.16

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Solution

The fourth proportional to 206,754.30, 285,298.74 and 116,120.16 is: 160,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,754.30 : 285,298.74 = 116,120.16 : x
  2. Step 2: Convert to fraction form
    206,754.30/285,298.74 = 116,120.16/x
  3. Step 3: Cross multiply
    206,754.30x = 285,298.74 × 116,120.16
  4. Step 4: Simplify right side
    206,754.30x = 33,128,935,336.60
  5. Step 5: Solve for x
    x = 33,128,935,336.60/206,754.30
  6. Step 6: Final answer
    x = 160,233.36

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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.