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Finding the Fourth Proportional to 271,825.31, 375,129.48 and 150,975.78

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Solution

The fourth proportional to 271,825.31, 375,129.48 and 150,975.78 is: 208,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,825.31 : 375,129.48 = 150,975.78 : x
  2. Step 2: Convert to fraction form
    271,825.31/375,129.48 = 150,975.78/x
  3. Step 3: Cross multiply
    271,825.31x = 375,129.48 × 150,975.78
  4. Step 4: Simplify right side
    271,825.31x = 56,635,465,089.12
  5. Step 5: Solve for x
    x = 56,635,465,089.12/271,825.31
  6. Step 6: Final answer
    x = 208,352.44

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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.