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Finding the Fourth Proportional to 271,984.08, 407,963.66 and 94,504.98

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Solution

The fourth proportional to 271,984.08, 407,963.66 and 94,504.98 is: 141,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,984.08 : 407,963.66 = 94,504.98 : x
  2. Step 2: Convert to fraction form
    271,984.08/407,963.66 = 94,504.98/x
  3. Step 3: Cross multiply
    271,984.08x = 407,963.66 × 94,504.98
  4. Step 4: Simplify right side
    271,984.08x = 38,554,597,529.03
  5. Step 5: Solve for x
    x = 38,554,597,529.03/271,984.08
  6. Step 6: Final answer
    x = 141,753.14

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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.