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Finding the Fourth Proportional to 206,670.14, 285,185.10 and 116,005.32

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Solution

The fourth proportional to 206,670.14, 285,185.10 and 116,005.32 is: 160,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,670.14 : 285,185.10 = 116,005.32 : x
  2. Step 2: Convert to fraction form
    206,670.14/285,185.10 = 116,005.32/x
  3. Step 3: Cross multiply
    206,670.14x = 285,185.10 × 116,005.32
  4. Step 4: Simplify right side
    206,670.14x = 33,082,989,219.75
  5. Step 5: Solve for x
    x = 33,082,989,219.75/206,670.14
  6. Step 6: Final answer
    x = 160,076.29

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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.