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Finding the Fourth Proportional to 200,075.49, 300,153.74 and 81,756.36

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Solution

The fourth proportional to 200,075.49, 300,153.74 and 81,756.36 is: 122,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075.49 : 300,153.74 = 81,756.36 : x
  2. Step 2: Convert to fraction form
    200,075.49/300,153.74 = 81,756.36/x
  3. Step 3: Cross multiply
    200,075.49x = 300,153.74 × 81,756.36
  4. Step 4: Simplify right side
    200,075.49x = 24,539,476,814.00
  5. Step 5: Solve for x
    x = 24,539,476,814.00/200,075.49
  6. Step 6: Final answer
    x = 122,651.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.