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Finding the Fourth Proportional to 204,704.54, 282,488.01 and 114,060.14

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Solution

The fourth proportional to 204,704.54, 282,488.01 and 114,060.14 is: 157,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,704.54 : 282,488.01 = 114,060.14 : x
  2. Step 2: Convert to fraction form
    204,704.54/282,488.01 = 114,060.14/x
  3. Step 3: Cross multiply
    204,704.54x = 282,488.01 × 114,060.14
  4. Step 4: Simplify right side
    204,704.54x = 32,220,621,968.92
  5. Step 5: Solve for x
    x = 32,220,621,968.92/204,704.54
  6. Step 6: Final answer
    x = 157,400.62

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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.