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Finding the Fourth Proportional to 321,142.32, 481,738.56 and 96,485.28

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Solution

The fourth proportional to 321,142.32, 481,738.56 and 96,485.28 is: 144,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,142.32 : 481,738.56 = 96,485.28 : x
  2. Step 2: Convert to fraction form
    321,142.32/481,738.56 = 96,485.28/x
  3. Step 3: Cross multiply
    321,142.32x = 481,738.56 × 96,485.28
  4. Step 4: Simplify right side
    321,142.32x = 46,480,679,848.40
  5. Step 5: Solve for x
    x = 46,480,679,848.40/321,142.32
  6. Step 6: Final answer
    x = 144,735.46

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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.