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Finding the Fourth Proportional to 192,713.54, 288,904.19 and 74,467.85

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Solution

The fourth proportional to 192,713.54, 288,904.19 and 74,467.85 is: 111,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,713.54 : 288,904.19 = 74,467.85 : x
  2. Step 2: Convert to fraction form
    192,713.54/288,904.19 = 74,467.85/x
  3. Step 3: Cross multiply
    192,713.54x = 288,904.19 × 74,467.85
  4. Step 4: Simplify right side
    192,713.54x = 21,514,072,068.43
  5. Step 5: Solve for x
    x = 21,514,072,068.43/192,713.54
  6. Step 6: Final answer
    x = 111,637.58

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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.