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Finding the Fourth Proportional to 139,216.20, 208,824.30 and 100,141.80

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Solution

The fourth proportional to 139,216.20, 208,824.30 and 100,141.80 is: 150,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,216.20 : 208,824.30 = 100,141.80 : x
  2. Step 2: Convert to fraction form
    139,216.20/208,824.30 = 100,141.80/x
  3. Step 3: Cross multiply
    139,216.20x = 208,824.30 × 100,141.80
  4. Step 4: Simplify right side
    139,216.20x = 20,912,041,285.74
  5. Step 5: Solve for x
    x = 20,912,041,285.74/139,216.20
  6. Step 6: Final answer
    x = 150,212.70

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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.