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Finding the Fourth Proportional to 271,952.88, 375,298.20 and 164,534.64

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Solution

The fourth proportional to 271,952.88, 375,298.20 and 164,534.64 is: 227,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,952.88 : 375,298.20 = 164,534.64 : x
  2. Step 2: Convert to fraction form
    271,952.88/375,298.20 = 164,534.64/x
  3. Step 3: Cross multiply
    271,952.88x = 375,298.20 × 164,534.64
  4. Step 4: Simplify right side
    271,952.88x = 61,749,554,229.65
  5. Step 5: Solve for x
    x = 61,749,554,229.65/271,952.88
  6. Step 6: Final answer
    x = 227,059.75

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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.