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Finding the Fourth Proportional to 226,835.10, 340,252.65 and 202,340.70

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Solution

The fourth proportional to 226,835.10, 340,252.65 and 202,340.70 is: 303,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,835.10 : 340,252.65 = 202,340.70 : x
  2. Step 2: Convert to fraction form
    226,835.10/340,252.65 = 202,340.70/x
  3. Step 3: Cross multiply
    226,835.10x = 340,252.65 × 202,340.70
  4. Step 4: Simplify right side
    226,835.10x = 68,846,959,377.86
  5. Step 5: Solve for x
    x = 68,846,959,377.86/226,835.10
  6. Step 6: Final answer
    x = 303,511.05

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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.