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Finding the Fourth Proportional to 207,813.20, 310,942.20 and 137,829.20

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Solution

The fourth proportional to 207,813.20, 310,942.20 and 137,829.20 is: 206,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,813.20 : 310,942.20 = 137,829.20 : x
  2. Step 2: Convert to fraction form
    207,813.20/310,942.20 = 137,829.20/x
  3. Step 3: Cross multiply
    207,813.20x = 310,942.20 × 137,829.20
  4. Step 4: Simplify right side
    207,813.20x = 42,856,914,672.24
  5. Step 5: Solve for x
    x = 42,856,914,672.24/207,813.20
  6. Step 6: Final answer
    x = 206,228.07

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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.