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Finding the Fourth Proportional to 166,076.96, 248,962.14 and 66,213

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Solution

The fourth proportional to 166,076.96, 248,962.14 and 66,213 is: 99,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,076.96 : 248,962.14 = 66,213 : x
  2. Step 2: Convert to fraction form
    166,076.96/248,962.14 = 66,213/x
  3. Step 3: Cross multiply
    166,076.96x = 248,962.14 × 66,213
  4. Step 4: Simplify right side
    166,076.96x = 16,484,530,175.82
  5. Step 5: Solve for x
    x = 16,484,530,175.82/166,076.96
  6. Step 6: Final answer
    x = 99,258.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.