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Finding the Fourth Proportional to 160,906.46, 222,052.44 and 89,293.14

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Solution

The fourth proportional to 160,906.46, 222,052.44 and 89,293.14 is: 123,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906.46 : 222,052.44 = 89,293.14 : x
  2. Step 2: Convert to fraction form
    160,906.46/222,052.44 = 89,293.14/x
  3. Step 3: Cross multiply
    160,906.46x = 222,052.44 × 89,293.14
  4. Step 4: Simplify right side
    160,906.46x = 19,827,759,612.26
  5. Step 5: Solve for x
    x = 19,827,759,612.26/160,906.46
  6. Step 6: Final answer
    x = 123,225.38

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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.