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Finding the Fourth Proportional to 147,970.62, 204,196.38 and 80,902.62

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Solution

The fourth proportional to 147,970.62, 204,196.38 and 80,902.62 is: 111,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,970.62 : 204,196.38 = 80,902.62 : x
  2. Step 2: Convert to fraction form
    147,970.62/204,196.38 = 80,902.62/x
  3. Step 3: Cross multiply
    147,970.62x = 204,196.38 × 80,902.62
  4. Step 4: Simplify right side
    147,970.62x = 16,520,022,136.52
  5. Step 5: Solve for x
    x = 16,520,022,136.52/147,970.62
  6. Step 6: Final answer
    x = 111,643.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.