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Finding the Fourth Proportional to 271,515.68, 374,674.56 and 164,022.08

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Solution

The fourth proportional to 271,515.68, 374,674.56 and 164,022.08 is: 226,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,515.68 : 374,674.56 = 164,022.08 : x
  2. Step 2: Convert to fraction form
    271,515.68/374,674.56 = 164,022.08/x
  3. Step 3: Cross multiply
    271,515.68x = 374,674.56 × 164,022.08
  4. Step 4: Simplify right side
    271,515.68x = 61,454,900,654.28
  5. Step 5: Solve for x
    x = 61,454,900,654.28/271,515.68
  6. Step 6: Final answer
    x = 226,340.15

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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.