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Finding the Fourth Proportional to 204,728.80, 282,522 and 115,304.80

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Solution

The fourth proportional to 204,728.80, 282,522 and 115,304.80 is: 159,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,728.80 : 282,522 = 115,304.80 : x
  2. Step 2: Convert to fraction form
    204,728.80/282,522 = 115,304.80/x
  3. Step 3: Cross multiply
    204,728.80x = 282,522 × 115,304.80
  4. Step 4: Simplify right side
    204,728.80x = 32,576,142,705.60
  5. Step 5: Solve for x
    x = 32,576,142,705.60/204,728.80
  6. Step 6: Final answer
    x = 159,118.52

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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.