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Finding the Fourth Proportional to 166,016, 229,102.08 and 106,400

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Solution

The fourth proportional to 166,016, 229,102.08 and 106,400 is: 146,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,016 : 229,102.08 = 106,400 : x
  2. Step 2: Convert to fraction form
    166,016/229,102.08 = 106,400/x
  3. Step 3: Cross multiply
    166,016x = 229,102.08 × 106,400
  4. Step 4: Simplify right side
    166,016x = 24,376,461,312
  5. Step 5: Solve for x
    x = 24,376,461,312/166,016
  6. Step 6: Final answer
    x = 146,832

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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.