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Finding the Fourth Proportional to 199,506.74, 299,310.23 and 57,352.27

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Solution

The fourth proportional to 199,506.74, 299,310.23 and 57,352.27 is: 86,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,506.74 : 299,310.23 = 57,352.27 : x
  2. Step 2: Convert to fraction form
    199,506.74/299,310.23 = 57,352.27/x
  3. Step 3: Cross multiply
    199,506.74x = 299,310.23 × 57,352.27
  4. Step 4: Simplify right side
    199,506.74x = 17,166,121,124.72
  5. Step 5: Solve for x
    x = 17,166,121,124.72/199,506.74
  6. Step 6: Final answer
    x = 86,042.81

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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.