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Finding the Fourth Proportional to 321,093.12, 481,950.72 and 154,997.76

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Solution

The fourth proportional to 321,093.12, 481,950.72 and 154,997.76 is: 232,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,093.12 : 481,950.72 = 154,997.76 : x
  2. Step 2: Convert to fraction form
    321,093.12/481,950.72 = 154,997.76/x
  3. Step 3: Cross multiply
    321,093.12x = 481,950.72 × 154,997.76
  4. Step 4: Simplify right side
    321,093.12x = 74,701,282,030.39
  5. Step 5: Solve for x
    x = 74,701,282,030.39/321,093.12
  6. Step 6: Final answer
    x = 232,646.78

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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.