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Finding the Fourth Proportional to 206,426.20, 309,639.30 and 127,629.40

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Solution

The fourth proportional to 206,426.20, 309,639.30 and 127,629.40 is: 191,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426.20 : 309,639.30 = 127,629.40 : x
  2. Step 2: Convert to fraction form
    206,426.20/309,639.30 = 127,629.40/x
  3. Step 3: Cross multiply
    206,426.20x = 309,639.30 × 127,629.40
  4. Step 4: Simplify right side
    206,426.20x = 39,519,078,075.42
  5. Step 5: Solve for x
    x = 39,519,078,075.42/206,426.20
  6. Step 6: Final answer
    x = 191,444.10

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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.