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Finding the Fourth Proportional to 271,294.98, 406,529.37 and 137,975.46

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Solution

The fourth proportional to 271,294.98, 406,529.37 and 137,975.46 is: 206,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,294.98 : 406,529.37 = 137,975.46 : x
  2. Step 2: Convert to fraction form
    271,294.98/406,529.37 = 137,975.46/x
  3. Step 3: Cross multiply
    271,294.98x = 406,529.37 × 137,975.46
  4. Step 4: Simplify right side
    271,294.98x = 56,091,076,829.26
  5. Step 5: Solve for x
    x = 56,091,076,829.26/271,294.98
  6. Step 6: Final answer
    x = 206,753.10

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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.