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Finding the Fourth Proportional to 209,356.67, 313,987.82 and 59,593.64

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Solution

The fourth proportional to 209,356.67, 313,987.82 and 59,593.64 is: 89,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.67 : 313,987.82 = 59,593.64 : x
  2. Step 2: Convert to fraction form
    209,356.67/313,987.82 = 59,593.64/x
  3. Step 3: Cross multiply
    209,356.67x = 313,987.82 × 59,593.64
  4. Step 4: Simplify right side
    209,356.67x = 18,711,675,241.56
  5. Step 5: Solve for x
    x = 18,711,675,241.56/209,356.67
  6. Step 6: Final answer
    x = 89,377.02

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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.