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Finding the Fourth Proportional to 208,065.85, 312,098.81 and 50,294.27

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Solution

The fourth proportional to 208,065.85, 312,098.81 and 50,294.27 is: 75,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.85 : 312,098.81 = 50,294.27 : x
  2. Step 2: Convert to fraction form
    208,065.85/312,098.81 = 50,294.27/x
  3. Step 3: Cross multiply
    208,065.85x = 312,098.81 × 50,294.27
  4. Step 4: Simplify right side
    208,065.85x = 15,696,782,345.59
  5. Step 5: Solve for x
    x = 15,696,782,345.59/208,065.85
  6. Step 6: Final answer
    x = 75,441.42

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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.