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Finding the Fourth Proportional to 276,808.86, 381,996.22 and 149,484.44

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Solution

The fourth proportional to 276,808.86, 381,996.22 and 149,484.44 is: 206,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,808.86 : 381,996.22 = 149,484.44 : x
  2. Step 2: Convert to fraction form
    276,808.86/381,996.22 = 149,484.44/x
  3. Step 3: Cross multiply
    276,808.86x = 381,996.22 × 149,484.44
  4. Step 4: Simplify right side
    276,808.86x = 57,102,490,457.89
  5. Step 5: Solve for x
    x = 57,102,490,457.89/276,808.86
  6. Step 6: Final answer
    x = 206,288.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.