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Finding the Fourth Proportional to 339,701.80, 509,423.10 and 102,965.80

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Solution

The fourth proportional to 339,701.80, 509,423.10 and 102,965.80 is: 154,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,701.80 : 509,423.10 = 102,965.80 : x
  2. Step 2: Convert to fraction form
    339,701.80/509,423.10 = 102,965.80/x
  3. Step 3: Cross multiply
    339,701.80x = 509,423.10 × 102,965.80
  4. Step 4: Simplify right side
    339,701.80x = 52,453,157,029.98
  5. Step 5: Solve for x
    x = 52,453,157,029.98/339,701.80
  6. Step 6: Final answer
    x = 154,409.42

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Why These Related Problems?

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