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Finding the Fourth Proportional to 200,221.32, 276,278.12 and 119,631.80

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Solution

The fourth proportional to 200,221.32, 276,278.12 and 119,631.80 is: 165,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,221.32 : 276,278.12 = 119,631.80 : x
  2. Step 2: Convert to fraction form
    200,221.32/276,278.12 = 119,631.80/x
  3. Step 3: Cross multiply
    200,221.32x = 276,278.12 × 119,631.80
  4. Step 4: Simplify right side
    200,221.32x = 33,051,648,796.22
  5. Step 5: Solve for x
    x = 33,051,648,796.22/200,221.32
  6. Step 6: Final answer
    x = 165,075.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.