Home / 205,647.94-283,782.36-113,761.72

Finding the Fourth Proportional to 205,647.94, 283,782.36 and 113,761.72

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Solution

The fourth proportional to 205,647.94, 283,782.36 and 113,761.72 is: 156,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,647.94 : 283,782.36 = 113,761.72 : x
  2. Step 2: Convert to fraction form
    205,647.94/283,782.36 = 113,761.72/x
  3. Step 3: Cross multiply
    205,647.94x = 283,782.36 × 113,761.72
  4. Step 4: Simplify right side
    205,647.94x = 32,283,569,379.26
  5. Step 5: Solve for x
    x = 32,283,569,379.26/205,647.94
  6. Step 6: Final answer
    x = 156,984.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.