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Finding the Fourth Proportional to 227,462, 313,796.13 and 131,913.32

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Solution

The fourth proportional to 227,462, 313,796.13 and 131,913.32 is: 181,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,462 : 313,796.13 = 131,913.32 : x
  2. Step 2: Convert to fraction form
    227,462/313,796.13 = 131,913.32/x
  3. Step 3: Cross multiply
    227,462x = 313,796.13 × 131,913.32
  4. Step 4: Simplify right side
    227,462x = 41,393,889,311.45
  5. Step 5: Solve for x
    x = 41,393,889,311.45/227,462
  6. Step 6: Final answer
    x = 181,981.56

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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.