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Finding the Fourth Proportional to 192,462.98, 288,595.89 and 102,556.93

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Solution

The fourth proportional to 192,462.98, 288,595.89 and 102,556.93 is: 153,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462.98 : 288,595.89 = 102,556.93 : x
  2. Step 2: Convert to fraction form
    192,462.98/288,595.89 = 102,556.93/x
  3. Step 3: Cross multiply
    192,462.98x = 288,595.89 × 102,556.93
  4. Step 4: Simplify right side
    192,462.98x = 29,597,508,489.02
  5. Step 5: Solve for x
    x = 29,597,508,489.02/192,462.98
  6. Step 6: Final answer
    x = 153,782.87

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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.