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Finding the Fourth Proportional to 357,137.34, 492,853.26 and 196,002.78

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Solution

The fourth proportional to 357,137.34, 492,853.26 and 196,002.78 is: 270,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,137.34 : 492,853.26 = 196,002.78 : x
  2. Step 2: Convert to fraction form
    357,137.34/492,853.26 = 196,002.78/x
  3. Step 3: Cross multiply
    357,137.34x = 492,853.26 × 196,002.78
  4. Step 4: Simplify right side
    357,137.34x = 96,600,609,092.06
  5. Step 5: Solve for x
    x = 96,600,609,092.06/357,137.34
  6. Step 6: Final answer
    x = 270,485.88

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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.