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Finding the Fourth Proportional to 200,193, 276,267.15 and 110,769

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Solution

The fourth proportional to 200,193, 276,267.15 and 110,769 is: 152,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,193 : 276,267.15 = 110,769 : x
  2. Step 2: Convert to fraction form
    200,193/276,267.15 = 110,769/x
  3. Step 3: Cross multiply
    200,193x = 276,267.15 × 110,769
  4. Step 4: Simplify right side
    200,193x = 30,601,835,938.35
  5. Step 5: Solve for x
    x = 30,601,835,938.35/200,193
  6. Step 6: Final answer
    x = 152,861.67

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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.