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Finding the Fourth Proportional to 204,644.26, 282,417.59 and 114,000.22

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Solution

The fourth proportional to 204,644.26, 282,417.59 and 114,000.22 is: 157,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,644.26 : 282,417.59 = 114,000.22 : x
  2. Step 2: Convert to fraction form
    204,644.26/282,417.59 = 114,000.22/x
  3. Step 3: Cross multiply
    204,644.26x = 282,417.59 × 114,000.22
  4. Step 4: Simplify right side
    204,644.26x = 32,195,667,391.87
  5. Step 5: Solve for x
    x = 32,195,667,391.87/204,644.26
  6. Step 6: Final answer
    x = 157,325.04

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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.