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Finding the Fourth Proportional to 209,292.12, 313,763 and 97,052.44

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Solution

The fourth proportional to 209,292.12, 313,763 and 97,052.44 is: 145,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292.12 : 313,763 = 97,052.44 : x
  2. Step 2: Convert to fraction form
    209,292.12/313,763 = 97,052.44/x
  3. Step 3: Cross multiply
    209,292.12x = 313,763 × 97,052.44
  4. Step 4: Simplify right side
    209,292.12x = 30,451,464,731.72
  5. Step 5: Solve for x
    x = 30,451,464,731.72/209,292.12
  6. Step 6: Final answer
    x = 145,497.43

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Why These Related Problems?

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