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Finding the Fourth Proportional to 216,332.64, 298,540.08 and 120,843.36

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Solution

The fourth proportional to 216,332.64, 298,540.08 and 120,843.36 is: 166,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,332.64 : 298,540.08 = 120,843.36 : x
  2. Step 2: Convert to fraction form
    216,332.64/298,540.08 = 120,843.36/x
  3. Step 3: Cross multiply
    216,332.64x = 298,540.08 × 120,843.36
  4. Step 4: Simplify right side
    216,332.64x = 36,076,586,361.87
  5. Step 5: Solve for x
    x = 36,076,586,361.87/216,332.64
  6. Step 6: Final answer
    x = 166,764.42

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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.