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Finding the Fourth Proportional to 206,684.07, 285,201.93 and 116,050

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Solution

The fourth proportional to 206,684.07, 285,201.93 and 116,050 is: 160,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684.07 : 285,201.93 = 116,050 : x
  2. Step 2: Convert to fraction form
    206,684.07/285,201.93 = 116,050/x
  3. Step 3: Cross multiply
    206,684.07x = 285,201.93 × 116,050
  4. Step 4: Simplify right side
    206,684.07x = 33,097,683,976.50
  5. Step 5: Solve for x
    x = 33,097,683,976.50/206,684.07
  6. Step 6: Final answer
    x = 160,136.60

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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.