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Finding the Fourth Proportional to 259,589.16, 389,325.02 and 119,212.84

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Solution

The fourth proportional to 259,589.16, 389,325.02 and 119,212.84 is: 178,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,589.16 : 389,325.02 = 119,212.84 : x
  2. Step 2: Convert to fraction form
    259,589.16/389,325.02 = 119,212.84/x
  3. Step 3: Cross multiply
    259,589.16x = 389,325.02 × 119,212.84
  4. Step 4: Simplify right side
    259,589.16x = 46,412,541,317.26
  5. Step 5: Solve for x
    x = 46,412,541,317.26/259,589.16
  6. Step 6: Final answer
    x = 178,792.29

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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.