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Finding the Fourth Proportional to 209,145.42, 288,620.46 and 113,651.91

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Solution

The fourth proportional to 209,145.42, 288,620.46 and 113,651.91 is: 156,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,145.42 : 288,620.46 = 113,651.91 : x
  2. Step 2: Convert to fraction form
    209,145.42/288,620.46 = 113,651.91/x
  3. Step 3: Cross multiply
    209,145.42x = 288,620.46 × 113,651.91
  4. Step 4: Simplify right side
    209,145.42x = 32,802,266,544.08
  5. Step 5: Solve for x
    x = 32,802,266,544.08/209,145.42
  6. Step 6: Final answer
    x = 156,839.52

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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.