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Finding the Fourth Proportional to 271,984.80, 375,277.68 and 164,552.16

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Solution

The fourth proportional to 271,984.80, 375,277.68 and 164,552.16 is: 227,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,984.80 : 375,277.68 = 164,552.16 : x
  2. Step 2: Convert to fraction form
    271,984.80/375,277.68 = 164,552.16/x
  3. Step 3: Cross multiply
    271,984.80x = 375,277.68 × 164,552.16
  4. Step 4: Simplify right side
    271,984.80x = 61,752,752,843.79
  5. Step 5: Solve for x
    x = 61,752,752,843.79/271,984.80
  6. Step 6: Final answer
    x = 227,044.87

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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.