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Finding the Fourth Proportional to 209,355.84, 313,986.60 and 59,592.82

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Solution

The fourth proportional to 209,355.84, 313,986.60 and 59,592.82 is: 89,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,355.84 : 313,986.60 = 59,592.82 : x
  2. Step 2: Convert to fraction form
    209,355.84/313,986.60 = 59,592.82/x
  3. Step 3: Cross multiply
    209,355.84x = 313,986.60 × 59,592.82
  4. Step 4: Simplify right side
    209,355.84x = 18,711,346,936.21
  5. Step 5: Solve for x
    x = 18,711,346,936.21/209,355.84
  6. Step 6: Final answer
    x = 89,375.81

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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.