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Finding the Fourth Proportional to 193,245.80, 289,431.30 and 114,513.80

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Solution

The fourth proportional to 193,245.80, 289,431.30 and 114,513.80 is: 171,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,245.80 : 289,431.30 = 114,513.80 : x
  2. Step 2: Convert to fraction form
    193,245.80/289,431.30 = 114,513.80/x
  3. Step 3: Cross multiply
    193,245.80x = 289,431.30 × 114,513.80
  4. Step 4: Simplify right side
    193,245.80x = 33,143,878,001.94
  5. Step 5: Solve for x
    x = 33,143,878,001.94/193,245.80
  6. Step 6: Final answer
    x = 171,511.51

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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.