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Finding the Fourth Proportional to 259,666.33, 389,264.39 and 101,852.41

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Solution

The fourth proportional to 259,666.33, 389,264.39 and 101,852.41 is: 152,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,666.33 : 389,264.39 = 101,852.41 : x
  2. Step 2: Convert to fraction form
    259,666.33/389,264.39 = 101,852.41/x
  3. Step 3: Cross multiply
    259,666.33x = 389,264.39 × 101,852.41
  4. Step 4: Simplify right side
    259,666.33x = 39,647,513,793.10
  5. Step 5: Solve for x
    x = 39,647,513,793.10/259,666.33
  6. Step 6: Final answer
    x = 152,686.39

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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.