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Finding the Fourth Proportional to 271,575.29, 407,265.73 and 94,034.63

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Solution

The fourth proportional to 271,575.29, 407,265.73 and 94,034.63 is: 141,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,575.29 : 407,265.73 = 94,034.63 : x
  2. Step 2: Convert to fraction form
    271,575.29/407,265.73 = 94,034.63/x
  3. Step 3: Cross multiply
    271,575.29x = 407,265.73 × 94,034.63
  4. Step 4: Simplify right side
    271,575.29x = 38,297,082,232.23
  5. Step 5: Solve for x
    x = 38,297,082,232.23/271,575.29
  6. Step 6: Final answer
    x = 141,018.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.