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Finding the Fourth Proportional to 259,614.54, 389,254.41 and 101,858.94

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Solution

The fourth proportional to 259,614.54, 389,254.41 and 101,858.94 is: 152,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,614.54 : 389,254.41 = 101,858.94 : x
  2. Step 2: Convert to fraction form
    259,614.54/389,254.41 = 101,858.94/x
  3. Step 3: Cross multiply
    259,614.54x = 389,254.41 × 101,858.94
  4. Step 4: Simplify right side
    259,614.54x = 39,649,041,592.93
  5. Step 5: Solve for x
    x = 39,649,041,592.93/259,614.54
  6. Step 6: Final answer
    x = 152,722.73

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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.