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Finding the Fourth Proportional to 285,494.63, 393,995.49 and 158,170.22

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Solution

The fourth proportional to 285,494.63, 393,995.49 and 158,170.22 is: 218,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,494.63 : 393,995.49 = 158,170.22 : x
  2. Step 2: Convert to fraction form
    285,494.63/393,995.49 = 158,170.22/x
  3. Step 3: Cross multiply
    285,494.63x = 393,995.49 × 158,170.22
  4. Step 4: Simplify right side
    285,494.63x = 62,318,353,136.38
  5. Step 5: Solve for x
    x = 62,318,353,136.38/285,494.63
  6. Step 6: Final answer
    x = 218,282.05

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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.