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Finding the Fourth Proportional to 204,518.19, 282,158.76 and 204,202.44

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Solution

The fourth proportional to 204,518.19, 282,158.76 and 204,202.44 is: 281,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,518.19 : 282,158.76 = 204,202.44 : x
  2. Step 2: Convert to fraction form
    204,518.19/282,158.76 = 204,202.44/x
  3. Step 3: Cross multiply
    204,518.19x = 282,158.76 × 204,202.44
  4. Step 4: Simplify right side
    204,518.19x = 57,617,507,259.37
  5. Step 5: Solve for x
    x = 57,617,507,259.37/204,518.19
  6. Step 6: Final answer
    x = 281,723.14

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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.