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Finding the Fourth Proportional to 219,617.25, 303,071.81 and 119,015.25

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Solution

The fourth proportional to 219,617.25, 303,071.81 and 119,015.25 is: 164,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,617.25 : 303,071.81 = 119,015.25 : x
  2. Step 2: Convert to fraction form
    219,617.25/303,071.81 = 119,015.25/x
  3. Step 3: Cross multiply
    219,617.25x = 303,071.81 × 119,015.25
  4. Step 4: Simplify right side
    219,617.25x = 36,070,166,640.03
  5. Step 5: Solve for x
    x = 36,070,166,640.03/219,617.25
  6. Step 6: Final answer
    x = 164,241.05

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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.