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Finding the Fourth Proportional to 147,925, 204,136.50 and 80,857

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Solution

The fourth proportional to 147,925, 204,136.50 and 80,857 is: 111,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,925 : 204,136.50 = 80,857 : x
  2. Step 2: Convert to fraction form
    147,925/204,136.50 = 80,857/x
  3. Step 3: Cross multiply
    147,925x = 204,136.50 × 80,857
  4. Step 4: Simplify right side
    147,925x = 16,505,864,980.50
  5. Step 5: Solve for x
    x = 16,505,864,980.50/147,925
  6. Step 6: Final answer
    x = 111,582.66

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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.