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Finding the Fourth Proportional to 111,218.24, 166,710.72 and 52,004

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Solution

The fourth proportional to 111,218.24, 166,710.72 and 52,004 is: 77,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,218.24 : 166,710.72 = 52,004 : x
  2. Step 2: Convert to fraction form
    111,218.24/166,710.72 = 52,004/x
  3. Step 3: Cross multiply
    111,218.24x = 166,710.72 × 52,004
  4. Step 4: Simplify right side
    111,218.24x = 8,669,624,282.88
  5. Step 5: Solve for x
    x = 8,669,624,282.88/111,218.24
  6. Step 6: Final answer
    x = 77,951.46

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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.