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Finding the Fourth Proportional to 311,858.47, 467,838.20 and 122,216.01

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Solution

The fourth proportional to 311,858.47, 467,838.20 and 122,216.01 is: 183,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,858.47 : 467,838.20 = 122,216.01 : x
  2. Step 2: Convert to fraction form
    311,858.47/467,838.20 = 122,216.01/x
  3. Step 3: Cross multiply
    311,858.47x = 467,838.20 × 122,216.01
  4. Step 4: Simplify right side
    311,858.47x = 57,177,315,993.26
  5. Step 5: Solve for x
    x = 57,177,315,993.26/311,858.47
  6. Step 6: Final answer
    x = 183,343.80

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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.