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Finding the Fourth Proportional to 150,102.91, 225,411.95 and 133,273.95

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Solution

The fourth proportional to 150,102.91, 225,411.95 and 133,273.95 is: 200,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,102.91 : 225,411.95 = 133,273.95 : x
  2. Step 2: Convert to fraction form
    150,102.91/225,411.95 = 133,273.95/x
  3. Step 3: Cross multiply
    150,102.91x = 225,411.95 × 133,273.95
  4. Step 4: Simplify right side
    150,102.91x = 30,041,540,953.70
  5. Step 5: Solve for x
    x = 30,041,540,953.70/150,102.91
  6. Step 6: Final answer
    x = 200,139.63

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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.