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Finding the Fourth Proportional to 204,720.73, 282,507.42 and 114,072.01

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Solution

The fourth proportional to 204,720.73, 282,507.42 and 114,072.01 is: 157,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,720.73 : 282,507.42 = 114,072.01 : x
  2. Step 2: Convert to fraction form
    204,720.73/282,507.42 = 114,072.01/x
  3. Step 3: Cross multiply
    204,720.73x = 282,507.42 × 114,072.01
  4. Step 4: Simplify right side
    204,720.73x = 32,226,189,239.31
  5. Step 5: Solve for x
    x = 32,226,189,239.31/204,720.73
  6. Step 6: Final answer
    x = 157,415.37

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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.