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Finding the Fourth Proportional to 161,202.77, 222,465.22 and 89,585.81

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Solution

The fourth proportional to 161,202.77, 222,465.22 and 89,585.81 is: 123,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,202.77 : 222,465.22 = 89,585.81 : x
  2. Step 2: Convert to fraction form
    161,202.77/222,465.22 = 89,585.81/x
  3. Step 3: Cross multiply
    161,202.77x = 222,465.22 × 89,585.81
  4. Step 4: Simplify right side
    161,202.77x = 19,929,726,930.53
  5. Step 5: Solve for x
    x = 19,929,726,930.53/161,202.77
  6. Step 6: Final answer
    x = 123,631.42

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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.