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Finding the Fourth Proportional to 213,958.53, 295,267.41 and 117,166.50

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Solution

The fourth proportional to 213,958.53, 295,267.41 and 117,166.50 is: 161,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.53 : 295,267.41 = 117,166.50 : x
  2. Step 2: Convert to fraction form
    213,958.53/295,267.41 = 117,166.50/x
  3. Step 3: Cross multiply
    213,958.53x = 295,267.41 × 117,166.50
  4. Step 4: Simplify right side
    213,958.53x = 34,595,448,993.77
  5. Step 5: Solve for x
    x = 34,595,448,993.77/213,958.53
  6. Step 6: Final answer
    x = 161,692.31

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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.