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Finding the Fourth Proportional to 343,197.41, 514,433.14 and 126,917.16

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Solution

The fourth proportional to 343,197.41, 514,433.14 and 126,917.16 is: 190,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,197.41 : 514,433.14 = 126,917.16 : x
  2. Step 2: Convert to fraction form
    343,197.41/514,433.14 = 126,917.16/x
  3. Step 3: Cross multiply
    343,197.41x = 514,433.14 × 126,917.16
  4. Step 4: Simplify right side
    343,197.41x = 65,290,393,138.68
  5. Step 5: Solve for x
    x = 65,290,393,138.68/343,197.41
  6. Step 6: Final answer
    x = 190,241.51

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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.