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Finding the Fourth Proportional to 280,302.42, 420,524.64 and 80,618.52

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Solution

The fourth proportional to 280,302.42, 420,524.64 and 80,618.52 is: 120,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,302.42 : 420,524.64 = 80,618.52 : x
  2. Step 2: Convert to fraction form
    280,302.42/420,524.64 = 80,618.52/x
  3. Step 3: Cross multiply
    280,302.42x = 420,524.64 × 80,618.52
  4. Step 4: Simplify right side
    280,302.42x = 33,902,074,100.33
  5. Step 5: Solve for x
    x = 33,902,074,100.33/280,302.42
  6. Step 6: Final answer
    x = 120,948.20

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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.