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Finding the Fourth Proportional to 143,462.89, 214,944.95 and 100,677.58

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Solution

The fourth proportional to 143,462.89, 214,944.95 and 100,677.58 is: 150,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,462.89 : 214,944.95 = 100,677.58 : x
  2. Step 2: Convert to fraction form
    143,462.89/214,944.95 = 100,677.58/x
  3. Step 3: Cross multiply
    143,462.89x = 214,944.95 × 100,677.58
  4. Step 4: Simplify right side
    143,462.89x = 21,640,137,399.22
  5. Step 5: Solve for x
    x = 21,640,137,399.22/143,462.89
  6. Step 6: Final answer
    x = 150,841.36

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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.