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Finding the Fourth Proportional to 204,923, 282,795.90 and 115,499

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Solution

The fourth proportional to 204,923, 282,795.90 and 115,499 is: 159,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,923 : 282,795.90 = 115,499 : x
  2. Step 2: Convert to fraction form
    204,923/282,795.90 = 115,499/x
  3. Step 3: Cross multiply
    204,923x = 282,795.90 × 115,499
  4. Step 4: Simplify right side
    204,923x = 32,662,643,654.10
  5. Step 5: Solve for x
    x = 32,662,643,654.10/204,923
  6. Step 6: Final answer
    x = 159,389.84

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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.