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Finding the Fourth Proportional to 192,071.33, 288,104.67 and 49,904.02

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Solution

The fourth proportional to 192,071.33, 288,104.67 and 49,904.02 is: 74,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,071.33 : 288,104.67 = 49,904.02 : x
  2. Step 2: Convert to fraction form
    192,071.33/288,104.67 = 49,904.02/x
  3. Step 3: Cross multiply
    192,071.33x = 288,104.67 × 49,904.02
  4. Step 4: Simplify right side
    192,071.33x = 14,377,580,493.51
  5. Step 5: Solve for x
    x = 14,377,580,493.51/192,071.33
  6. Step 6: Final answer
    x = 74,855.42

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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.