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Finding the Fourth Proportional to 209,657.01, 289,317.99 and 114,163.48

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Solution

The fourth proportional to 209,657.01, 289,317.99 and 114,163.48 is: 157,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,657.01 : 289,317.99 = 114,163.48 : x
  2. Step 2: Convert to fraction form
    209,657.01/289,317.99 = 114,163.48/x
  3. Step 3: Cross multiply
    209,657.01x = 289,317.99 × 114,163.48
  4. Step 4: Simplify right side
    209,657.01x = 33,029,548,565.01
  5. Step 5: Solve for x
    x = 33,029,548,565.01/209,657.01
  6. Step 6: Final answer
    x = 157,540.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.