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Finding the Fourth Proportional to 161,465.35, 222,853.02 and 106,921.38

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Solution

The fourth proportional to 161,465.35, 222,853.02 and 106,921.38 is: 147,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,465.35 : 222,853.02 = 106,921.38 : x
  2. Step 2: Convert to fraction form
    161,465.35/222,853.02 = 106,921.38/x
  3. Step 3: Cross multiply
    161,465.35x = 222,853.02 × 106,921.38
  4. Step 4: Simplify right side
    161,465.35x = 23,827,752,435.57
  5. Step 5: Solve for x
    x = 23,827,752,435.57/161,465.35
  6. Step 6: Final answer
    x = 147,571.92

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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.