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Finding the Fourth Proportional to 208,837.80, 313,256.70 and 150,226.20

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Solution

The fourth proportional to 208,837.80, 313,256.70 and 150,226.20 is: 225,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,837.80 : 313,256.70 = 150,226.20 : x
  2. Step 2: Convert to fraction form
    208,837.80/313,256.70 = 150,226.20/x
  3. Step 3: Cross multiply
    208,837.80x = 313,256.70 × 150,226.20
  4. Step 4: Simplify right side
    208,837.80x = 47,059,363,665.54
  5. Step 5: Solve for x
    x = 47,059,363,665.54/208,837.80
  6. Step 6: Final answer
    x = 225,339.30

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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.