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Finding the Fourth Proportional to 271,825.76, 375,130.08 and 150,976.22

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Solution

The fourth proportional to 271,825.76, 375,130.08 and 150,976.22 is: 208,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,825.76 : 375,130.08 = 150,976.22 : x
  2. Step 2: Convert to fraction form
    271,825.76/375,130.08 = 150,976.22/x
  3. Step 3: Cross multiply
    271,825.76x = 375,130.08 × 150,976.22
  4. Step 4: Simplify right side
    271,825.76x = 56,635,719,611.05
  5. Step 5: Solve for x
    x = 56,635,719,611.05/271,825.76
  6. Step 6: Final answer
    x = 208,353.03

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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.