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Finding the Fourth Proportional to 209,324.80, 313,943.25 and 69,050.56

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Solution

The fourth proportional to 209,324.80, 313,943.25 and 69,050.56 is: 103,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.80 : 313,943.25 = 69,050.56 : x
  2. Step 2: Convert to fraction form
    209,324.80/313,943.25 = 69,050.56/x
  3. Step 3: Cross multiply
    209,324.80x = 313,943.25 × 69,050.56
  4. Step 4: Simplify right side
    209,324.80x = 21,677,957,220.72
  5. Step 5: Solve for x
    x = 21,677,957,220.72/209,324.80
  6. Step 6: Final answer
    x = 103,561.34

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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.