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Finding the Fourth Proportional to 125,811.09, 188,749.44 and 46,926

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Solution

The fourth proportional to 125,811.09, 188,749.44 and 46,926 is: 70,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,811.09 : 188,749.44 = 46,926 : x
  2. Step 2: Convert to fraction form
    125,811.09/188,749.44 = 46,926/x
  3. Step 3: Cross multiply
    125,811.09x = 188,749.44 × 46,926
  4. Step 4: Simplify right side
    125,811.09x = 8,857,256,221.44
  5. Step 5: Solve for x
    x = 8,857,256,221.44/125,811.09
  6. Step 6: Final answer
    x = 70,401.24

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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.