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Finding the Fourth Proportional to 280,344.30, 420,613.65 and 122,685.90

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Solution

The fourth proportional to 280,344.30, 420,613.65 and 122,685.90 is: 184,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,344.30 : 420,613.65 = 122,685.90 : x
  2. Step 2: Convert to fraction form
    280,344.30/420,613.65 = 122,685.90/x
  3. Step 3: Cross multiply
    280,344.30x = 420,613.65 × 122,685.90
  4. Step 4: Simplify right side
    280,344.30x = 51,603,364,202.54
  5. Step 5: Solve for x
    x = 51,603,364,202.54/280,344.30
  6. Step 6: Final answer
    x = 184,071.39

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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.