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Finding the Fourth Proportional to 209,772.24, 314,395.56 and 165,223

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Solution

The fourth proportional to 209,772.24, 314,395.56 and 165,223 is: 247,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,772.24 : 314,395.56 = 165,223 : x
  2. Step 2: Convert to fraction form
    209,772.24/314,395.56 = 165,223/x
  3. Step 3: Cross multiply
    209,772.24x = 314,395.56 × 165,223
  4. Step 4: Simplify right side
    209,772.24x = 51,945,377,609.88
  5. Step 5: Solve for x
    x = 51,945,377,609.88/209,772.24
  6. Step 6: Final answer
    x = 247,627.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.