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Finding the Fourth Proportional to 199,047.78, 298,571.67 and 58,795.47

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Solution

The fourth proportional to 199,047.78, 298,571.67 and 58,795.47 is: 88,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,047.78 : 298,571.67 = 58,795.47 : x
  2. Step 2: Convert to fraction form
    199,047.78/298,571.67 = 58,795.47/x
  3. Step 3: Cross multiply
    199,047.78x = 298,571.67 × 58,795.47
  4. Step 4: Simplify right side
    199,047.78x = 17,554,661,666.33
  5. Step 5: Solve for x
    x = 17,554,661,666.33/199,047.78
  6. Step 6: Final answer
    x = 88,193.21

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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.