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Finding the Fourth Proportional to 339,394.68, 509,098.50 and 102,736.44

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Solution

The fourth proportional to 339,394.68, 509,098.50 and 102,736.44 is: 154,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,394.68 : 509,098.50 = 102,736.44 : x
  2. Step 2: Convert to fraction form
    339,394.68/509,098.50 = 102,736.44/x
  3. Step 3: Cross multiply
    339,394.68x = 509,098.50 × 102,736.44
  4. Step 4: Simplify right side
    339,394.68x = 52,302,967,499.34
  5. Step 5: Solve for x
    x = 52,302,967,499.34/339,394.68
  6. Step 6: Final answer
    x = 154,106.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.