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Finding the Fourth Proportional to 321,112.17, 481,509.50 and 188,025.93

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Solution

The fourth proportional to 321,112.17, 481,509.50 and 188,025.93 is: 281,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,112.17 : 481,509.50 = 188,025.93 : x
  2. Step 2: Convert to fraction form
    321,112.17/481,509.50 = 188,025.93/x
  3. Step 3: Cross multiply
    321,112.17x = 481,509.50 × 188,025.93
  4. Step 4: Simplify right side
    321,112.17x = 90,536,270,601.21
  5. Step 5: Solve for x
    x = 90,536,270,601.21/321,112.17
  6. Step 6: Final answer
    x = 281,945.93

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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.