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Finding the Fourth Proportional to 209,791.50, 314,737.07 and 69,550.13

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Solution

The fourth proportional to 209,791.50, 314,737.07 and 69,550.13 is: 104,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.50 : 314,737.07 = 69,550.13 : x
  2. Step 2: Convert to fraction form
    209,791.50/314,737.07 = 69,550.13/x
  3. Step 3: Cross multiply
    209,791.50x = 314,737.07 × 69,550.13
  4. Step 4: Simplify right side
    209,791.50x = 21,890,002,212.88
  5. Step 5: Solve for x
    x = 21,890,002,212.88/209,791.50
  6. Step 6: Final answer
    x = 104,341.70

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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.