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Finding the Fourth Proportional to 192,461.72, 288,615.98 and 74,067.24

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Solution

The fourth proportional to 192,461.72, 288,615.98 and 74,067.24 is: 111,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,461.72 : 288,615.98 = 74,067.24 : x
  2. Step 2: Convert to fraction form
    192,461.72/288,615.98 = 74,067.24/x
  3. Step 3: Cross multiply
    192,461.72x = 288,615.98 × 74,067.24
  4. Step 4: Simplify right side
    192,461.72x = 21,376,989,058.50
  5. Step 5: Solve for x
    x = 21,376,989,058.50/192,461.72
  6. Step 6: Final answer
    x = 111,071.38

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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.