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Finding the Fourth Proportional to 209,144.63, 288,611.69 and 113,649.27

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Solution

The fourth proportional to 209,144.63, 288,611.69 and 113,649.27 is: 156,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,144.63 : 288,611.69 = 113,649.27 : x
  2. Step 2: Convert to fraction form
    209,144.63/288,611.69 = 113,649.27/x
  3. Step 3: Cross multiply
    209,144.63x = 288,611.69 × 113,649.27
  4. Step 4: Simplify right side
    209,144.63x = 32,800,507,313.72
  5. Step 5: Solve for x
    x = 32,800,507,313.72/209,144.63
  6. Step 6: Final answer
    x = 156,831.70

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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.