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Finding the Fourth Proportional to 308,091, 462,136.50 and 111,099

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Solution

The fourth proportional to 308,091, 462,136.50 and 111,099 is: 166,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,091 : 462,136.50 = 111,099 : x
  2. Step 2: Convert to fraction form
    308,091/462,136.50 = 111,099/x
  3. Step 3: Cross multiply
    308,091x = 462,136.50 × 111,099
  4. Step 4: Simplify right side
    308,091x = 51,342,903,013.50
  5. Step 5: Solve for x
    x = 51,342,903,013.50/308,091
  6. Step 6: Final answer
    x = 166,648.50

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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.