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Finding the Fourth Proportional to 178,457.25, 267,671.69 and 71,766

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Solution

The fourth proportional to 178,457.25, 267,671.69 and 71,766 is: 107,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,457.25 : 267,671.69 = 71,766 : x
  2. Step 2: Convert to fraction form
    178,457.25/267,671.69 = 71,766/x
  3. Step 3: Cross multiply
    178,457.25x = 267,671.69 × 71,766
  4. Step 4: Simplify right side
    178,457.25x = 19,209,726,414.83
  5. Step 5: Solve for x
    x = 19,209,726,414.83/178,457.25
  6. Step 6: Final answer
    x = 107,643.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.