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Finding the Fourth Proportional to 271,106.36, 406,744.53 and 163,153.51

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Solution

The fourth proportional to 271,106.36, 406,744.53 and 163,153.51 is: 244,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,106.36 : 406,744.53 = 163,153.51 : x
  2. Step 2: Convert to fraction form
    271,106.36/406,744.53 = 163,153.51/x
  3. Step 3: Cross multiply
    271,106.36x = 406,744.53 × 163,153.51
  4. Step 4: Simplify right side
    271,106.36x = 66,361,797,742.80
  5. Step 5: Solve for x
    x = 66,361,797,742.80/271,106.36
  6. Step 6: Final answer
    x = 244,781.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.