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Finding the Fourth Proportional to 227,197.32, 313,603.32 and 146,625

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Solution

The fourth proportional to 227,197.32, 313,603.32 and 146,625 is: 202,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,197.32 : 313,603.32 = 146,625 : x
  2. Step 2: Convert to fraction form
    227,197.32/313,603.32 = 146,625/x
  3. Step 3: Cross multiply
    227,197.32x = 313,603.32 × 146,625
  4. Step 4: Simplify right side
    227,197.32x = 45,982,086,795
  5. Step 5: Solve for x
    x = 45,982,086,795/227,197.32
  6. Step 6: Final answer
    x = 202,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.