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Finding the Fourth Proportional to 285,427.56, 393,890.54 and 158,100.42

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Solution

The fourth proportional to 285,427.56, 393,890.54 and 158,100.42 is: 218,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,427.56 : 393,890.54 = 158,100.42 : x
  2. Step 2: Convert to fraction form
    285,427.56/393,890.54 = 158,100.42/x
  3. Step 3: Cross multiply
    285,427.56x = 393,890.54 × 158,100.42
  4. Step 4: Simplify right side
    285,427.56x = 62,274,259,017.52
  5. Step 5: Solve for x
    x = 62,274,259,017.52/285,427.56
  6. Step 6: Final answer
    x = 218,178.86

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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.