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Finding the Fourth Proportional to 189,196.61, 283,663.69 and 100,512.39

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Solution

The fourth proportional to 189,196.61, 283,663.69 and 100,512.39 is: 150,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,196.61 : 283,663.69 = 100,512.39 : x
  2. Step 2: Convert to fraction form
    189,196.61/283,663.69 = 100,512.39/x
  3. Step 3: Cross multiply
    189,196.61x = 283,663.69 × 100,512.39
  4. Step 4: Simplify right side
    189,196.61x = 28,511,715,438.12
  5. Step 5: Solve for x
    x = 28,511,715,438.12/189,196.61
  6. Step 6: Final answer
    x = 150,698.87

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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.