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Finding the Fourth Proportional to 204,739.20, 296,042.40 and 204,739.20

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Solution

The fourth proportional to 204,739.20, 296,042.40 and 204,739.20 is: 296,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,739.20 : 296,042.40 = 204,739.20 : x
  2. Step 2: Convert to fraction form
    204,739.20/296,042.40 = 204,739.20/x
  3. Step 3: Cross multiply
    204,739.20x = 296,042.40 × 204,739.20
  4. Step 4: Simplify right side
    204,739.20x = 60,611,484,142.08
  5. Step 5: Solve for x
    x = 60,611,484,142.08/204,739.20
  6. Step 6: Final answer
    x = 296,042.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.