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Finding the Fourth Proportional to 206,827.80, 309,723.30 and 136,325.40

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Solution

The fourth proportional to 206,827.80, 309,723.30 and 136,325.40 is: 204,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,827.80 : 309,723.30 = 136,325.40 : x
  2. Step 2: Convert to fraction form
    206,827.80/309,723.30 = 136,325.40/x
  3. Step 3: Cross multiply
    206,827.80x = 309,723.30 × 136,325.40
  4. Step 4: Simplify right side
    206,827.80x = 42,223,152,761.82
  5. Step 5: Solve for x
    x = 42,223,152,761.82/206,827.80
  6. Step 6: Final answer
    x = 204,146.41

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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.