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Finding the Fourth Proportional to 339,431.80, 509,018.10 and 102,695.80

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Solution

The fourth proportional to 339,431.80, 509,018.10 and 102,695.80 is: 154,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,431.80 : 509,018.10 = 102,695.80 : x
  2. Step 2: Convert to fraction form
    339,431.80/509,018.10 = 102,695.80/x
  3. Step 3: Cross multiply
    339,431.80x = 509,018.10 × 102,695.80
  4. Step 4: Simplify right side
    339,431.80x = 52,274,020,993.98
  5. Step 5: Solve for x
    x = 52,274,020,993.98/339,431.80
  6. Step 6: Final answer
    x = 154,004.49

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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.