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Finding the Fourth Proportional to 285,872.49, 394,512.93 and 158,559.93

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Solution

The fourth proportional to 285,872.49, 394,512.93 and 158,559.93 is: 218,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,872.49 : 394,512.93 = 158,559.93 : x
  2. Step 2: Convert to fraction form
    285,872.49/394,512.93 = 158,559.93/x
  3. Step 3: Cross multiply
    285,872.49x = 394,512.93 × 158,559.93
  4. Step 4: Simplify right side
    285,872.49x = 62,553,942,564.89
  5. Step 5: Solve for x
    x = 62,553,942,564.89/285,872.49
  6. Step 6: Final answer
    x = 218,817.64

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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.