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Finding the Fourth Proportional to 209,704.90, 289,396.05 and 114,211.52

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Solution

The fourth proportional to 209,704.90, 289,396.05 and 114,211.52 is: 157,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704.90 : 289,396.05 = 114,211.52 : x
  2. Step 2: Convert to fraction form
    209,704.90/289,396.05 = 114,211.52/x
  3. Step 3: Cross multiply
    209,704.90x = 289,396.05 × 114,211.52
  4. Step 4: Simplify right side
    209,704.90x = 33,052,362,752.50
  5. Step 5: Solve for x
    x = 33,052,362,752.50/209,704.90
  6. Step 6: Final answer
    x = 157,613.69

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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.