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Finding the Fourth Proportional to 206,840.21, 285,424.11 and 116,211.26

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Solution

The fourth proportional to 206,840.21, 285,424.11 and 116,211.26 is: 160,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.21 : 285,424.11 = 116,211.26 : x
  2. Step 2: Convert to fraction form
    206,840.21/285,424.11 = 116,211.26/x
  3. Step 3: Cross multiply
    206,840.21x = 285,424.11 × 116,211.26
  4. Step 4: Simplify right side
    206,840.21x = 33,169,494,030.36
  5. Step 5: Solve for x
    x = 33,169,494,030.36/206,840.21
  6. Step 6: Final answer
    x = 160,362.89

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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.