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Finding the Fourth Proportional to 150,216.21, 225,318.42 and 37,894.95

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Solution

The fourth proportional to 150,216.21, 225,318.42 and 37,894.95 is: 56,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,216.21 : 225,318.42 = 37,894.95 : x
  2. Step 2: Convert to fraction form
    150,216.21/225,318.42 = 37,894.95/x
  3. Step 3: Cross multiply
    150,216.21x = 225,318.42 × 37,894.95
  4. Step 4: Simplify right side
    150,216.21x = 8,538,430,259.98
  5. Step 5: Solve for x
    x = 8,538,430,259.98/150,216.21
  6. Step 6: Final answer
    x = 56,840.94

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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.