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Finding the Fourth Proportional to 365,141, 547,780.62 and 168,149

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Solution

The fourth proportional to 365,141, 547,780.62 and 168,149 is: 252,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,141 : 547,780.62 = 168,149 : x
  2. Step 2: Convert to fraction form
    365,141/547,780.62 = 168,149/x
  3. Step 3: Cross multiply
    365,141x = 547,780.62 × 168,149
  4. Step 4: Simplify right side
    365,141x = 92,108,763,472.38
  5. Step 5: Solve for x
    x = 92,108,763,472.38/365,141
  6. Step 6: Final answer
    x = 252,255.33

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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.