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Finding the Fourth Proportional to 110,149.64, 165,230.70 and 31,257.64

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Solution

The fourth proportional to 110,149.64, 165,230.70 and 31,257.64 is: 46,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,149.64 : 165,230.70 = 31,257.64 : x
  2. Step 2: Convert to fraction form
    110,149.64/165,230.70 = 31,257.64/x
  3. Step 3: Cross multiply
    110,149.64x = 165,230.70 × 31,257.64
  4. Step 4: Simplify right side
    110,149.64x = 5,164,721,737.55
  5. Step 5: Solve for x
    x = 5,164,721,737.55/110,149.64
  6. Step 6: Final answer
    x = 46,888.23

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1.5x scale

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.