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Finding the Fourth Proportional to 206,359.40, 309,539.10 and 136,222.31

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Solution

The fourth proportional to 206,359.40, 309,539.10 and 136,222.31 is: 204,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,359.40 : 309,539.10 = 136,222.31 : x
  2. Step 2: Convert to fraction form
    206,359.40/309,539.10 = 136,222.31/x
  3. Step 3: Cross multiply
    206,359.40x = 309,539.10 × 136,222.31
  4. Step 4: Simplify right side
    206,359.40x = 42,166,129,689.63
  5. Step 5: Solve for x
    x = 42,166,129,689.63/206,359.40
  6. Step 6: Final answer
    x = 204,333.46

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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.