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Finding the Fourth Proportional to 285,896.72, 394,537.73 and 158,572.31

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Solution

The fourth proportional to 285,896.72, 394,537.73 and 158,572.31 is: 218,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896.72 : 394,537.73 = 158,572.31 : x
  2. Step 2: Convert to fraction form
    285,896.72/394,537.73 = 158,572.31/x
  3. Step 3: Cross multiply
    285,896.72x = 394,537.73 × 158,572.31
  4. Step 4: Simplify right side
    285,896.72x = 62,562,759,228.26
  5. Step 5: Solve for x
    x = 62,562,759,228.26/285,896.72
  6. Step 6: Final answer
    x = 218,829.93

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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.