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Finding the Fourth Proportional to 271,922.14, 375,287.15 and 164,492.94

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Solution

The fourth proportional to 271,922.14, 375,287.15 and 164,492.94 is: 227,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,922.14 : 375,287.15 = 164,492.94 : x
  2. Step 2: Convert to fraction form
    271,922.14/375,287.15 = 164,492.94/x
  3. Step 3: Cross multiply
    271,922.14x = 375,287.15 × 164,492.94
  4. Step 4: Simplify right side
    271,922.14x = 61,732,087,997.17
  5. Step 5: Solve for x
    x = 61,732,087,997.17/271,922.14
  6. Step 6: Final answer
    x = 227,021.19

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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.