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Finding the Fourth Proportional to 209,065.44, 288,499.38 and 113,571.84

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Solution

The fourth proportional to 209,065.44, 288,499.38 and 113,571.84 is: 156,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,065.44 : 288,499.38 = 113,571.84 : x
  2. Step 2: Convert to fraction form
    209,065.44/288,499.38 = 113,571.84/x
  3. Step 3: Cross multiply
    209,065.44x = 288,499.38 × 113,571.84
  4. Step 4: Simplify right side
    209,065.44x = 32,765,405,425.46
  5. Step 5: Solve for x
    x = 32,765,405,425.46/209,065.44
  6. Step 6: Final answer
    x = 156,723.20

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Why These Related Problems?

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