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Finding the Fourth Proportional to 110,201.76, 165,277.80 and 31,314.24

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Solution

The fourth proportional to 110,201.76, 165,277.80 and 31,314.24 is: 46,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,201.76 : 165,277.80 = 31,314.24 : x
  2. Step 2: Convert to fraction form
    110,201.76/165,277.80 = 31,314.24/x
  3. Step 3: Cross multiply
    110,201.76x = 165,277.80 × 31,314.24
  4. Step 4: Simplify right side
    110,201.76x = 5,175,548,695.87
  5. Step 5: Solve for x
    x = 5,175,548,695.87/110,201.76
  6. Step 6: Final answer
    x = 46,964.30

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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.