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Finding the Fourth Proportional to 241,764.89, 333,550.31 and 138,323.53

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Solution

The fourth proportional to 241,764.89, 333,550.31 and 138,323.53 is: 190,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,764.89 : 333,550.31 = 138,323.53 : x
  2. Step 2: Convert to fraction form
    241,764.89/333,550.31 = 138,323.53/x
  3. Step 3: Cross multiply
    241,764.89x = 333,550.31 × 138,323.53
  4. Step 4: Simplify right side
    241,764.89x = 46,137,856,037.11
  5. Step 5: Solve for x
    x = 46,137,856,037.11/241,764.89
  6. Step 6: Final answer
    x = 190,837.71

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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.