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Finding the Fourth Proportional to 340,102.26, 510,211.36 and 140,313.32

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Solution

The fourth proportional to 340,102.26, 510,211.36 and 140,313.32 is: 210,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,102.26 : 510,211.36 = 140,313.32 : x
  2. Step 2: Convert to fraction form
    340,102.26/510,211.36 = 140,313.32/x
  3. Step 3: Cross multiply
    340,102.26x = 510,211.36 × 140,313.32
  4. Step 4: Simplify right side
    340,102.26x = 71,589,449,823.32
  5. Step 5: Solve for x
    x = 71,589,449,823.32/340,102.26
  6. Step 6: Final answer
    x = 210,493.90

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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.