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Finding the Fourth Proportional to 280,834.30, 421,251.45 and 202,102.30

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Solution

The fourth proportional to 280,834.30, 421,251.45 and 202,102.30 is: 303,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,834.30 : 421,251.45 = 202,102.30 : x
  2. Step 2: Convert to fraction form
    280,834.30/421,251.45 = 202,102.30/x
  3. Step 3: Cross multiply
    280,834.30x = 421,251.45 × 202,102.30
  4. Step 4: Simplify right side
    280,834.30x = 85,135,886,923.34
  5. Step 5: Solve for x
    x = 85,135,886,923.34/280,834.30
  6. Step 6: Final answer
    x = 303,153.45

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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.