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Finding the Fourth Proportional to 111,298.98, 166,956.10 and 44,739.16

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Solution

The fourth proportional to 111,298.98, 166,956.10 and 44,739.16 is: 67,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,298.98 : 166,956.10 = 44,739.16 : x
  2. Step 2: Convert to fraction form
    111,298.98/166,956.10 = 44,739.16/x
  3. Step 3: Cross multiply
    111,298.98x = 166,956.10 × 44,739.16
  4. Step 4: Simplify right side
    111,298.98x = 7,469,475,670.88
  5. Step 5: Solve for x
    x = 7,469,475,670.88/111,298.98
  6. Step 6: Final answer
    x = 67,111.81

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Why These Related Problems?

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