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Finding the Fourth Proportional to 204,607.96, 282,282.54 and 204,292.60

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Solution

The fourth proportional to 204,607.96, 282,282.54 and 204,292.60 is: 281,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,607.96 : 282,282.54 = 204,292.60 : x
  2. Step 2: Convert to fraction form
    204,607.96/282,282.54 = 204,292.60/x
  3. Step 3: Cross multiply
    204,607.96x = 282,282.54 × 204,292.60
  4. Step 4: Simplify right side
    204,607.96x = 57,668,234,031.20
  5. Step 5: Solve for x
    x = 57,668,234,031.20/204,607.96
  6. Step 6: Final answer
    x = 281,847.46

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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.