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Finding the Fourth Proportional to 110,134, 165,200.46 and 31,248.37

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Solution

The fourth proportional to 110,134, 165,200.46 and 31,248.37 is: 46,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,134 : 165,200.46 = 31,248.37 : x
  2. Step 2: Convert to fraction form
    110,134/165,200.46 = 31,248.37/x
  3. Step 3: Cross multiply
    110,134x = 165,200.46 × 31,248.37
  4. Step 4: Simplify right side
    110,134x = 5,162,245,098.25
  5. Step 5: Solve for x
    x = 5,162,245,098.25/110,134
  6. Step 6: Final answer
    x = 46,872.40

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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.