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Finding the Fourth Proportional to 100,193.22, 150,299.87 and 37,029.95

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Solution

The fourth proportional to 100,193.22, 150,299.87 and 37,029.95 is: 55,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.22 : 150,299.87 = 37,029.95 : x
  2. Step 2: Convert to fraction form
    100,193.22/150,299.87 = 37,029.95/x
  3. Step 3: Cross multiply
    100,193.22x = 150,299.87 × 37,029.95
  4. Step 4: Simplify right side
    100,193.22x = 5,565,596,671.11
  5. Step 5: Solve for x
    x = 5,565,596,671.11/100,193.22
  6. Step 6: Final answer
    x = 55,548.64

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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.