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Finding the Fourth Proportional to 280,201.26, 420,153.36 and 122,245.19

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Solution

The fourth proportional to 280,201.26, 420,153.36 and 122,245.19 is: 183,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,201.26 : 420,153.36 = 122,245.19 : x
  2. Step 2: Convert to fraction form
    280,201.26/420,153.36 = 122,245.19/x
  3. Step 3: Cross multiply
    280,201.26x = 420,153.36 × 122,245.19
  4. Step 4: Simplify right side
    280,201.26x = 51,361,727,322.34
  5. Step 5: Solve for x
    x = 51,361,727,322.34/280,201.26
  6. Step 6: Final answer
    x = 183,302.98

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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.