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Finding the Fourth Proportional to 208,630.62, 313,030.98 and 75,524.94

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Solution

The fourth proportional to 208,630.62, 313,030.98 and 75,524.94 is: 113,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,630.62 : 313,030.98 = 75,524.94 : x
  2. Step 2: Convert to fraction form
    208,630.62/313,030.98 = 75,524.94/x
  3. Step 3: Cross multiply
    208,630.62x = 313,030.98 × 75,524.94
  4. Step 4: Simplify right side
    208,630.62x = 23,641,645,982.64
  5. Step 5: Solve for x
    x = 23,641,645,982.64/208,630.62
  6. Step 6: Final answer
    x = 113,318.20

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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.