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Finding the Fourth Proportional to 285,851.72, 394,465.44 and 158,539.16

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Solution

The fourth proportional to 285,851.72, 394,465.44 and 158,539.16 is: 218,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851.72 : 394,465.44 = 158,539.16 : x
  2. Step 2: Convert to fraction form
    285,851.72/394,465.44 = 158,539.16/x
  3. Step 3: Cross multiply
    285,851.72x = 394,465.44 × 158,539.16
  4. Step 4: Simplify right side
    285,851.72x = 62,538,219,506.63
  5. Step 5: Solve for x
    x = 62,538,219,506.63/285,851.72
  6. Step 6: Final answer
    x = 218,778.53

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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.