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Finding the Fourth Proportional to 200,536.75, 276,740.72 and 119,967.67

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Solution

The fourth proportional to 200,536.75, 276,740.72 and 119,967.67 is: 165,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,536.75 : 276,740.72 = 119,967.67 : x
  2. Step 2: Convert to fraction form
    200,536.75/276,740.72 = 119,967.67/x
  3. Step 3: Cross multiply
    200,536.75x = 276,740.72 × 119,967.67
  4. Step 4: Simplify right side
    200,536.75x = 33,199,938,772.68
  5. Step 5: Solve for x
    x = 33,199,938,772.68/200,536.75
  6. Step 6: Final answer
    x = 165,555.38

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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.