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Finding the Fourth Proportional to 204,704.84, 282,513.44 and 114,075.56

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Solution

The fourth proportional to 204,704.84, 282,513.44 and 114,075.56 is: 157,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,704.84 : 282,513.44 = 114,075.56 : x
  2. Step 2: Convert to fraction form
    204,704.84/282,513.44 = 114,075.56/x
  3. Step 3: Cross multiply
    204,704.84x = 282,513.44 × 114,075.56
  4. Step 4: Simplify right side
    204,704.84x = 32,227,878,875.53
  5. Step 5: Solve for x
    x = 32,227,878,875.53/204,704.84
  6. Step 6: Final answer
    x = 157,435.84

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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.