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Finding the Fourth Proportional to 160,967.96, 222,132.36 and 89,343.68

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Solution

The fourth proportional to 160,967.96, 222,132.36 and 89,343.68 is: 123,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,967.96 : 222,132.36 = 89,343.68 : x
  2. Step 2: Convert to fraction form
    160,967.96/222,132.36 = 89,343.68/x
  3. Step 3: Cross multiply
    160,967.96x = 222,132.36 × 89,343.68
  4. Step 4: Simplify right side
    160,967.96x = 19,846,122,489.48
  5. Step 5: Solve for x
    x = 19,846,122,489.48/160,967.96
  6. Step 6: Final answer
    x = 123,292.38

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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.