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Finding the Fourth Proportional to 296,803.89, 445,226.49 and 119,311.02

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Solution

The fourth proportional to 296,803.89, 445,226.49 and 119,311.02 is: 178,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,803.89 : 445,226.49 = 119,311.02 : x
  2. Step 2: Convert to fraction form
    296,803.89/445,226.49 = 119,311.02/x
  3. Step 3: Cross multiply
    296,803.89x = 445,226.49 × 119,311.02
  4. Step 4: Simplify right side
    296,803.89x = 53,120,426,652.92
  5. Step 5: Solve for x
    x = 53,120,426,652.92/296,803.89
  6. Step 6: Final answer
    x = 178,974.83

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Why These Related Problems?

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