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Finding the Fourth Proportional to 201,324.82, 277,821.16 and 110,680.12

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Solution

The fourth proportional to 201,324.82, 277,821.16 and 110,680.12 is: 152,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324.82 : 277,821.16 = 110,680.12 : x
  2. Step 2: Convert to fraction form
    201,324.82/277,821.16 = 110,680.12/x
  3. Step 3: Cross multiply
    201,324.82x = 277,821.16 × 110,680.12
  4. Step 4: Simplify right side
    201,324.82x = 30,749,279,327.34
  5. Step 5: Solve for x
    x = 30,749,279,327.34/201,324.82
  6. Step 6: Final answer
    x = 152,734.67

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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.