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Finding the Fourth Proportional to 208,842.30, 313,263.45 and 150,230.70

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Solution

The fourth proportional to 208,842.30, 313,263.45 and 150,230.70 is: 225,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,842.30 : 313,263.45 = 150,230.70 : x
  2. Step 2: Convert to fraction form
    208,842.30/313,263.45 = 150,230.70/x
  3. Step 3: Cross multiply
    208,842.30x = 313,263.45 × 150,230.70
  4. Step 4: Simplify right side
    208,842.30x = 47,061,787,377.92
  5. Step 5: Solve for x
    x = 47,061,787,377.92/208,842.30
  6. Step 6: Final answer
    x = 225,346.05

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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.