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Finding the Fourth Proportional to 110,141.60, 165,218.70 and 31,249.64

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Solution

The fourth proportional to 110,141.60, 165,218.70 and 31,249.64 is: 46,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,141.60 : 165,218.70 = 31,249.64 : x
  2. Step 2: Convert to fraction form
    110,141.60/165,218.70 = 31,249.64/x
  3. Step 3: Cross multiply
    110,141.60x = 165,218.70 × 31,249.64
  4. Step 4: Simplify right side
    110,141.60x = 5,163,024,896.27
  5. Step 5: Solve for x
    x = 5,163,024,896.27/110,141.60
  6. Step 6: Final answer
    x = 46,876.25

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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.