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Finding the Fourth Proportional to 204,675.48, 282,472.92 and 114,046.20

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Solution

The fourth proportional to 204,675.48, 282,472.92 and 114,046.20 is: 157,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,675.48 : 282,472.92 = 114,046.20 : x
  2. Step 2: Convert to fraction form
    204,675.48/282,472.92 = 114,046.20/x
  3. Step 3: Cross multiply
    204,675.48x = 282,472.92 × 114,046.20
  4. Step 4: Simplify right side
    204,675.48x = 32,214,963,128.90
  5. Step 5: Solve for x
    x = 32,214,963,128.90/204,675.48
  6. Step 6: Final answer
    x = 157,395.32

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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.