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Finding the Fourth Proportional to 285,820.65, 394,456.73 and 158,537.25

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Solution

The fourth proportional to 285,820.65, 394,456.73 and 158,537.25 is: 218,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,820.65 : 394,456.73 = 158,537.25 : x
  2. Step 2: Convert to fraction form
    285,820.65/394,456.73 = 158,537.25/x
  3. Step 3: Cross multiply
    285,820.65x = 394,456.73 × 158,537.25
  4. Step 4: Simplify right side
    285,820.65x = 62,536,084,425.51
  5. Step 5: Solve for x
    x = 62,536,084,425.51/285,820.65
  6. Step 6: Final answer
    x = 218,794.84

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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.