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Finding the Fourth Proportional to 271,963.32, 375,334.74 and 164,559.84

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Solution

The fourth proportional to 271,963.32, 375,334.74 and 164,559.84 is: 227,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,963.32 : 375,334.74 = 164,559.84 : x
  2. Step 2: Convert to fraction form
    271,963.32/375,334.74 = 164,559.84/x
  3. Step 3: Cross multiply
    271,963.32x = 375,334.74 × 164,559.84
  4. Step 4: Simplify right side
    271,963.32x = 61,765,024,760.84
  5. Step 5: Solve for x
    x = 61,765,024,760.84/271,963.32
  6. Step 6: Final answer
    x = 227,107.92

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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.