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Finding the Fourth Proportional to 140,826.53, 211,239.95 and 35,645.50

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Solution

The fourth proportional to 140,826.53, 211,239.95 and 35,645.50 is: 53,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,826.53 : 211,239.95 = 35,645.50 : x
  2. Step 2: Convert to fraction form
    140,826.53/211,239.95 = 35,645.50/x
  3. Step 3: Cross multiply
    140,826.53x = 211,239.95 × 35,645.50
  4. Step 4: Simplify right side
    140,826.53x = 7,529,753,924.05
  5. Step 5: Solve for x
    x = 7,529,753,924.05/140,826.53
  6. Step 6: Final answer
    x = 53,468.29

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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.