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Finding the Fourth Proportional to 209,520.47, 289,144.28 and 114,033.22

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Solution

The fourth proportional to 209,520.47, 289,144.28 and 114,033.22 is: 157,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,520.47 : 289,144.28 = 114,033.22 : x
  2. Step 2: Convert to fraction form
    209,520.47/289,144.28 = 114,033.22/x
  3. Step 3: Cross multiply
    209,520.47x = 289,144.28 × 114,033.22
  4. Step 4: Simplify right side
    209,520.47x = 32,972,052,855.20
  5. Step 5: Solve for x
    x = 32,972,052,855.20/209,520.47
  6. Step 6: Final answer
    x = 157,369.12

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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.