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Finding the Fourth Proportional to 185,851.67, 256,478.42 and 100,968.80

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Solution

The fourth proportional to 185,851.67, 256,478.42 and 100,968.80 is: 139,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,851.67 : 256,478.42 = 100,968.80 : x
  2. Step 2: Convert to fraction form
    185,851.67/256,478.42 = 100,968.80/x
  3. Step 3: Cross multiply
    185,851.67x = 256,478.42 × 100,968.80
  4. Step 4: Simplify right side
    185,851.67x = 25,896,318,293.30
  5. Step 5: Solve for x
    x = 25,896,318,293.30/185,851.67
  6. Step 6: Final answer
    x = 139,338.64

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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.