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Finding the Fourth Proportional to 271,856.21, 375,190.95 and 164,485.44

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Solution

The fourth proportional to 271,856.21, 375,190.95 and 164,485.44 is: 227,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856.21 : 375,190.95 = 164,485.44 : x
  2. Step 2: Convert to fraction form
    271,856.21/375,190.95 = 164,485.44/x
  3. Step 3: Cross multiply
    271,856.21x = 375,190.95 × 164,485.44
  4. Step 4: Simplify right side
    271,856.21x = 61,713,449,111.59
  5. Step 5: Solve for x
    x = 61,713,449,111.59/271,856.21
  6. Step 6: Final answer
    x = 227,007.69

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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.