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Finding the Fourth Proportional to 206,433.94, 309,648.02 and 56,674.04

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Solution

The fourth proportional to 206,433.94, 309,648.02 and 56,674.04 is: 85,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,433.94 : 309,648.02 = 56,674.04 : x
  2. Step 2: Convert to fraction form
    206,433.94/309,648.02 = 56,674.04/x
  3. Step 3: Cross multiply
    206,433.94x = 309,648.02 × 56,674.04
  4. Step 4: Simplify right side
    206,433.94x = 17,549,004,271.40
  5. Step 5: Solve for x
    x = 17,549,004,271.40/206,433.94
  6. Step 6: Final answer
    x = 85,010.27

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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.