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Finding the Fourth Proportional to 140,682.36, 211,023.72 and 35,509.44

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Solution

The fourth proportional to 140,682.36, 211,023.72 and 35,509.44 is: 53,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,682.36 : 211,023.72 = 35,509.44 : x
  2. Step 2: Convert to fraction form
    140,682.36/211,023.72 = 35,509.44/x
  3. Step 3: Cross multiply
    140,682.36x = 211,023.72 × 35,509.44
  4. Step 4: Simplify right side
    140,682.36x = 7,493,334,123.92
  5. Step 5: Solve for x
    x = 7,493,334,123.92/140,682.36
  6. Step 6: Final answer
    x = 53,264.21

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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.