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Finding the Fourth Proportional to 206,842.16, 285,425.36 and 116,193.20

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Solution

The fourth proportional to 206,842.16, 285,425.36 and 116,193.20 is: 160,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.16 : 285,425.36 = 116,193.20 : x
  2. Step 2: Convert to fraction form
    206,842.16/285,425.36 = 116,193.20/x
  3. Step 3: Cross multiply
    206,842.16x = 285,425.36 × 116,193.20
  4. Step 4: Simplify right side
    206,842.16x = 33,164,485,939.55
  5. Step 5: Solve for x
    x = 33,164,485,939.55/206,842.16
  6. Step 6: Final answer
    x = 160,337.17

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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.