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Finding the Fourth Proportional to 285,521.84, 394,003.64 and 158,189.84

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Solution

The fourth proportional to 285,521.84, 394,003.64 and 158,189.84 is: 218,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,521.84 : 394,003.64 = 158,189.84 : x
  2. Step 2: Convert to fraction form
    285,521.84/394,003.64 = 158,189.84/x
  3. Step 3: Cross multiply
    285,521.84x = 394,003.64 × 158,189.84
  4. Step 4: Simplify right side
    285,521.84x = 62,327,372,771.02
  5. Step 5: Solve for x
    x = 62,327,372,771.02/285,521.84
  6. Step 6: Final answer
    x = 218,292.84

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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.