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Finding the Fourth Proportional to 209,294.38, 313,941.57 and 61,550.38

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Solution

The fourth proportional to 209,294.38, 313,941.57 and 61,550.38 is: 92,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,294.38 : 313,941.57 = 61,550.38 : x
  2. Step 2: Convert to fraction form
    209,294.38/313,941.57 = 61,550.38/x
  3. Step 3: Cross multiply
    209,294.38x = 313,941.57 × 61,550.38
  4. Step 4: Simplify right side
    209,294.38x = 19,323,221,053.84
  5. Step 5: Solve for x
    x = 19,323,221,053.84/209,294.38
  6. Step 6: Final answer
    x = 92,325.56

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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.