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Finding the Fourth Proportional to 259,312.88, 388,738.46 and 101,651.24

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Solution

The fourth proportional to 259,312.88, 388,738.46 and 101,651.24 is: 152,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,312.88 : 388,738.46 = 101,651.24 : x
  2. Step 2: Convert to fraction form
    259,312.88/388,738.46 = 101,651.24/x
  3. Step 3: Cross multiply
    259,312.88x = 388,738.46 × 101,651.24
  4. Step 4: Simplify right side
    259,312.88x = 39,515,747,720.66
  5. Step 5: Solve for x
    x = 39,515,747,720.66/259,312.88
  6. Step 6: Final answer
    x = 152,386.37

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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.