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Finding the Fourth Proportional to 271,648.80, 374,857.62 and 150,784.32

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Solution

The fourth proportional to 271,648.80, 374,857.62 and 150,784.32 is: 208,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,648.80 : 374,857.62 = 150,784.32 : x
  2. Step 2: Convert to fraction form
    271,648.80/374,857.62 = 150,784.32/x
  3. Step 3: Cross multiply
    271,648.80x = 374,857.62 × 150,784.32
  4. Step 4: Simplify right side
    271,648.80x = 56,522,651,328.52
  5. Step 5: Solve for x
    x = 56,522,651,328.52/271,648.80
  6. Step 6: Final answer
    x = 208,072.52

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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.