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Finding the Fourth Proportional to 208,612.62, 313,003.98 and 75,506.94

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Solution

The fourth proportional to 208,612.62, 313,003.98 and 75,506.94 is: 113,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,612.62 : 313,003.98 = 75,506.94 : x
  2. Step 2: Convert to fraction form
    208,612.62/313,003.98 = 75,506.94/x
  3. Step 3: Cross multiply
    208,612.62x = 313,003.98 × 75,506.94
  4. Step 4: Simplify right side
    208,612.62x = 23,633,972,737.62
  5. Step 5: Solve for x
    x = 23,633,972,737.62/208,612.62
  6. Step 6: Final answer
    x = 113,291.19

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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.