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Finding the Fourth Proportional to 271,703.10, 374,962.38 and 150,846.06

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Solution

The fourth proportional to 271,703.10, 374,962.38 and 150,846.06 is: 208,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.10 : 374,962.38 = 150,846.06 : x
  2. Step 2: Convert to fraction form
    271,703.10/374,962.38 = 150,846.06/x
  3. Step 3: Cross multiply
    271,703.10x = 374,962.38 × 150,846.06
  4. Step 4: Simplify right side
    271,703.10x = 56,561,597,671.22
  5. Step 5: Solve for x
    x = 56,561,597,671.22/271,703.10
  6. Step 6: Final answer
    x = 208,174.28

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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.