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Finding the Fourth Proportional to 206,748.75, 285,292.01 and 116,103.98

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Solution

The fourth proportional to 206,748.75, 285,292.01 and 116,103.98 is: 160,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,748.75 : 285,292.01 = 116,103.98 : x
  2. Step 2: Convert to fraction form
    206,748.75/285,292.01 = 116,103.98/x
  3. Step 3: Cross multiply
    206,748.75x = 285,292.01 × 116,103.98
  4. Step 4: Simplify right side
    206,748.75x = 33,123,537,321.45
  5. Step 5: Solve for x
    x = 33,123,537,321.45/206,748.75
  6. Step 6: Final answer
    x = 160,211.55

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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.