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Finding the Fourth Proportional to 271,562.98, 406,993.02 and 151,616.80

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Solution

The fourth proportional to 271,562.98, 406,993.02 and 151,616.80 is: 227,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,562.98 : 406,993.02 = 151,616.80 : x
  2. Step 2: Convert to fraction form
    271,562.98/406,993.02 = 151,616.80/x
  3. Step 3: Cross multiply
    271,562.98x = 406,993.02 × 151,616.80
  4. Step 4: Simplify right side
    271,562.98x = 61,706,979,314.74
  5. Step 5: Solve for x
    x = 61,706,979,314.74/271,562.98
  6. Step 6: Final answer
    x = 227,228.98

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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.