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Finding the Fourth Proportional to 149,321.20, 223,722.60 and 96,703.60

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Solution

The fourth proportional to 149,321.20, 223,722.60 and 96,703.60 is: 144,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321.20 : 223,722.60 = 96,703.60 : x
  2. Step 2: Convert to fraction form
    149,321.20/223,722.60 = 96,703.60/x
  3. Step 3: Cross multiply
    149,321.20x = 223,722.60 × 96,703.60
  4. Step 4: Simplify right side
    149,321.20x = 21,634,780,821.36
  5. Step 5: Solve for x
    x = 21,634,780,821.36/149,321.20
  6. Step 6: Final answer
    x = 144,887.54

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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.