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Finding the Fourth Proportional to 192,525.98, 288,838.23 and 74,165.54

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Solution

The fourth proportional to 192,525.98, 288,838.23 and 74,165.54 is: 111,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,525.98 : 288,838.23 = 74,165.54 : x
  2. Step 2: Convert to fraction form
    192,525.98/288,838.23 = 74,165.54/x
  3. Step 3: Cross multiply
    192,525.98x = 288,838.23 × 74,165.54
  4. Step 4: Simplify right side
    192,525.98x = 21,421,843,300.59
  5. Step 5: Solve for x
    x = 21,421,843,300.59/192,525.98
  6. Step 6: Final answer
    x = 111,267.29

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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.