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Finding the Fourth Proportional to 271,867.46, 375,206.51 and 164,496.69

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Solution

The fourth proportional to 271,867.46, 375,206.51 and 164,496.69 is: 227,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,867.46 : 375,206.51 = 164,496.69 : x
  2. Step 2: Convert to fraction form
    271,867.46/375,206.51 = 164,496.69/x
  3. Step 3: Cross multiply
    271,867.46x = 375,206.51 × 164,496.69
  4. Step 4: Simplify right side
    271,867.46x = 61,720,229,372.69
  5. Step 5: Solve for x
    x = 61,720,229,372.69/271,867.46
  6. Step 6: Final answer
    x = 227,023.24

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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.