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Finding the Fourth Proportional to 206,744.46, 285,158.25 and 189,802.50

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Solution

The fourth proportional to 206,744.46, 285,158.25 and 189,802.50 is: 261,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,744.46 : 285,158.25 = 189,802.50 : x
  2. Step 2: Convert to fraction form
    206,744.46/285,158.25 = 189,802.50/x
  3. Step 3: Cross multiply
    206,744.46x = 285,158.25 × 189,802.50
  4. Step 4: Simplify right side
    206,744.46x = 54,123,748,745.63
  5. Step 5: Solve for x
    x = 54,123,748,745.63/206,744.46
  6. Step 6: Final answer
    x = 261,790.56

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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.