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Finding the Fourth Proportional to 356,138.55, 491,518.14 and 203,141.70

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Solution

The fourth proportional to 356,138.55, 491,518.14 and 203,141.70 is: 280,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,138.55 : 491,518.14 = 203,141.70 : x
  2. Step 2: Convert to fraction form
    356,138.55/491,518.14 = 203,141.70/x
  3. Step 3: Cross multiply
    356,138.55x = 491,518.14 × 203,141.70
  4. Step 4: Simplify right side
    356,138.55x = 99,847,830,540.44
  5. Step 5: Solve for x
    x = 99,847,830,540.44/356,138.55
  6. Step 6: Final answer
    x = 280,362.32

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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.