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Finding the Fourth Proportional to 259,552.24, 389,325.90 and 82,059.24

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Solution

The fourth proportional to 259,552.24, 389,325.90 and 82,059.24 is: 123,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,552.24 : 389,325.90 = 82,059.24 : x
  2. Step 2: Convert to fraction form
    259,552.24/389,325.90 = 82,059.24/x
  3. Step 3: Cross multiply
    259,552.24x = 389,325.90 × 82,059.24
  4. Step 4: Simplify right side
    259,552.24x = 31,947,787,466.32
  5. Step 5: Solve for x
    x = 31,947,787,466.32/259,552.24
  6. Step 6: Final answer
    x = 123,088.08

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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.