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Finding the Fourth Proportional to 206,908.32, 285,566.76 and 193,401

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Solution

The fourth proportional to 206,908.32, 285,566.76 and 193,401 is: 266,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,908.32 : 285,566.76 = 193,401 : x
  2. Step 2: Convert to fraction form
    206,908.32/285,566.76 = 193,401/x
  3. Step 3: Cross multiply
    206,908.32x = 285,566.76 × 193,401
  4. Step 4: Simplify right side
    206,908.32x = 55,228,896,950.76
  5. Step 5: Solve for x
    x = 55,228,896,950.76/206,908.32
  6. Step 6: Final answer
    x = 266,924.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.