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Finding the Fourth Proportional to 271,633.64, 374,853.78 and 150,776.38

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Solution

The fourth proportional to 271,633.64, 374,853.78 and 150,776.38 is: 208,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,633.64 : 374,853.78 = 150,776.38 : x
  2. Step 2: Convert to fraction form
    271,633.64/374,853.78 = 150,776.38/x
  3. Step 3: Cross multiply
    271,633.64x = 374,853.78 × 150,776.38
  4. Step 4: Simplify right side
    271,633.64x = 56,519,094,103.45
  5. Step 5: Solve for x
    x = 56,519,094,103.45/271,633.64
  6. Step 6: Final answer
    x = 208,071.04

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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.