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Finding the Fourth Proportional to 159,744, 220,533.12 and 96,096

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Solution

The fourth proportional to 159,744, 220,533.12 and 96,096 is: 132,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744 : 220,533.12 = 96,096 : x
  2. Step 2: Convert to fraction form
    159,744/220,533.12 = 96,096/x
  3. Step 3: Cross multiply
    159,744x = 220,533.12 × 96,096
  4. Step 4: Simplify right side
    159,744x = 21,192,350,699.52
  5. Step 5: Solve for x
    x = 21,192,350,699.52/159,744
  6. Step 6: Final answer
    x = 132,664.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.