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Finding the Fourth Proportional to 110,157.98, 165,243.24 and 31,266

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Solution

The fourth proportional to 110,157.98, 165,243.24 and 31,266 is: 46,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,157.98 : 165,243.24 = 31,266 : x
  2. Step 2: Convert to fraction form
    110,157.98/165,243.24 = 31,266/x
  3. Step 3: Cross multiply
    110,157.98x = 165,243.24 × 31,266
  4. Step 4: Simplify right side
    110,157.98x = 5,166,495,141.84
  5. Step 5: Solve for x
    x = 5,166,495,141.84/110,157.98
  6. Step 6: Final answer
    x = 46,900.78

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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.