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Finding the Fourth Proportional to 200,947.27, 277,181.08 and 119,217.67

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Solution

The fourth proportional to 200,947.27, 277,181.08 and 119,217.67 is: 164,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,947.27 : 277,181.08 = 119,217.67 : x
  2. Step 2: Convert to fraction form
    200,947.27/277,181.08 = 119,217.67/x
  3. Step 3: Cross multiply
    200,947.27x = 277,181.08 × 119,217.67
  4. Step 4: Simplify right side
    200,947.27x = 33,044,882,525.68
  5. Step 5: Solve for x
    x = 33,044,882,525.68/200,947.27
  6. Step 6: Final answer
    x = 164,445.54

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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.