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Finding the Fourth Proportional to 201,676.50, 278,303.00 and 111,014.76

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Solution

The fourth proportional to 201,676.50, 278,303.00 and 111,014.76 is: 153,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.50 : 278,303.00 = 111,014.76 : x
  2. Step 2: Convert to fraction form
    201,676.50/278,303.00 = 111,014.76/x
  3. Step 3: Cross multiply
    201,676.50x = 278,303.00 × 111,014.76
  4. Step 4: Simplify right side
    201,676.50x = 30,895,739,083.23
  5. Step 5: Solve for x
    x = 30,895,739,083.23/201,676.50
  6. Step 6: Final answer
    x = 153,194.54

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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.