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Finding the Fourth Proportional to 209,350.53, 313,978.64 and 59,587.50

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Solution

The fourth proportional to 209,350.53, 313,978.64 and 59,587.50 is: 89,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,350.53 : 313,978.64 = 59,587.50 : x
  2. Step 2: Convert to fraction form
    209,350.53/313,978.64 = 59,587.50/x
  3. Step 3: Cross multiply
    209,350.53x = 313,978.64 × 59,587.50
  4. Step 4: Simplify right side
    209,350.53x = 18,709,202,211
  5. Step 5: Solve for x
    x = 18,709,202,211/209,350.53
  6. Step 6: Final answer
    x = 89,367.83

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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.