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Finding the Fourth Proportional to 271,418.99, 406,713.32 and 145,077.22

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Solution

The fourth proportional to 271,418.99, 406,713.32 and 145,077.22 is: 217,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,418.99 : 406,713.32 = 145,077.22 : x
  2. Step 2: Convert to fraction form
    271,418.99/406,713.32 = 145,077.22/x
  3. Step 3: Cross multiply
    271,418.99x = 406,713.32 × 145,077.22
  4. Step 4: Simplify right side
    271,418.99x = 59,004,836,060.40
  5. Step 5: Solve for x
    x = 59,004,836,060.40/271,418.99
  6. Step 6: Final answer
    x = 217,393.91

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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.