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Finding the Fourth Proportional to 140,859.36, 211,289.40 and 35,678.52

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Solution

The fourth proportional to 140,859.36, 211,289.40 and 35,678.52 is: 53,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,859.36 : 211,289.40 = 35,678.52 : x
  2. Step 2: Convert to fraction form
    140,859.36/211,289.40 = 35,678.52/x
  3. Step 3: Cross multiply
    140,859.36x = 211,289.40 × 35,678.52
  4. Step 4: Simplify right side
    140,859.36x = 7,538,493,083.69
  5. Step 5: Solve for x
    x = 7,538,493,083.69/140,859.36
  6. Step 6: Final answer
    x = 53,517.87

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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.