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Finding the Fourth Proportional to 110,133, 165,198.96 and 31,247.37

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Solution

The fourth proportional to 110,133, 165,198.96 and 31,247.37 is: 46,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,133 : 165,198.96 = 31,247.37 : x
  2. Step 2: Convert to fraction form
    110,133/165,198.96 = 31,247.37/x
  3. Step 3: Cross multiply
    110,133x = 165,198.96 × 31,247.37
  4. Step 4: Simplify right side
    110,133x = 5,162,033,026.74
  5. Step 5: Solve for x
    x = 5,162,033,026.74/110,133
  6. Step 6: Final answer
    x = 46,870.90

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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.