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Finding the Fourth Proportional to 280,137.30, 420,232.03 and 111,616.98

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Solution

The fourth proportional to 280,137.30, 420,232.03 and 111,616.98 is: 167,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,137.30 : 420,232.03 = 111,616.98 : x
  2. Step 2: Convert to fraction form
    280,137.30/420,232.03 = 111,616.98/x
  3. Step 3: Cross multiply
    280,137.30x = 420,232.03 × 111,616.98
  4. Step 4: Simplify right side
    280,137.30x = 46,905,030,087.87
  5. Step 5: Solve for x
    x = 46,905,030,087.87/280,137.30
  6. Step 6: Final answer
    x = 167,435.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.