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Finding the Fourth Proportional to 199,048.78, 298,573.17 and 58,796.47

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Solution

The fourth proportional to 199,048.78, 298,573.17 and 58,796.47 is: 88,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,048.78 : 298,573.17 = 58,796.47 : x
  2. Step 2: Convert to fraction form
    199,048.78/298,573.17 = 58,796.47/x
  3. Step 3: Cross multiply
    199,048.78x = 298,573.17 × 58,796.47
  4. Step 4: Simplify right side
    199,048.78x = 17,555,048,432.71
  5. Step 5: Solve for x
    x = 17,555,048,432.71/199,048.78
  6. Step 6: Final answer
    x = 88,194.71

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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.