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Finding the Fourth Proportional to 180,745.47, 271,116.63 and 54,385.05

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Solution

The fourth proportional to 180,745.47, 271,116.63 and 54,385.05 is: 81,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,745.47 : 271,116.63 = 54,385.05 : x
  2. Step 2: Convert to fraction form
    180,745.47/271,116.63 = 54,385.05/x
  3. Step 3: Cross multiply
    180,745.47x = 271,116.63 × 54,385.05
  4. Step 4: Simplify right side
    180,745.47x = 14,744,691,478.38
  5. Step 5: Solve for x
    x = 14,744,691,478.38/180,745.47
  6. Step 6: Final answer
    x = 81,577.10

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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.