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Finding the Fourth Proportional to 151,842.57, 209,537.09 and 83,858.09

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Solution

The fourth proportional to 151,842.57, 209,537.09 and 83,858.09 is: 115,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,842.57 : 209,537.09 = 83,858.09 : x
  2. Step 2: Convert to fraction form
    151,842.57/209,537.09 = 83,858.09/x
  3. Step 3: Cross multiply
    151,842.57x = 209,537.09 × 83,858.09
  4. Step 4: Simplify right side
    151,842.57x = 17,571,379,398.83
  5. Step 5: Solve for x
    x = 17,571,379,398.83/151,842.57
  6. Step 6: Final answer
    x = 115,721.03

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