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Finding the Fourth Proportional to 339,445.80, 509,039.10 and 102,709.80

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Solution

The fourth proportional to 339,445.80, 509,039.10 and 102,709.80 is: 154,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,445.80 : 509,039.10 = 102,709.80 : x
  2. Step 2: Convert to fraction form
    339,445.80/509,039.10 = 102,709.80/x
  3. Step 3: Cross multiply
    339,445.80x = 509,039.10 × 102,709.80
  4. Step 4: Simplify right side
    339,445.80x = 52,283,304,153.18
  5. Step 5: Solve for x
    x = 52,283,304,153.18/339,445.80
  6. Step 6: Final answer
    x = 154,025.49

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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.