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Finding the Fourth Proportional to 217,741.81, 300,488.46 and 119,626.32

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Solution

The fourth proportional to 217,741.81, 300,488.46 and 119,626.32 is: 165,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,741.81 : 300,488.46 = 119,626.32 : x
  2. Step 2: Convert to fraction form
    217,741.81/300,488.46 = 119,626.32/x
  3. Step 3: Cross multiply
    217,741.81x = 300,488.46 × 119,626.32
  4. Step 4: Simplify right side
    217,741.81x = 35,946,327,321.14
  5. Step 5: Solve for x
    x = 35,946,327,321.14/217,741.81
  6. Step 6: Final answer
    x = 165,086.93

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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.