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Finding the Fourth Proportional to 180,775.80, 271,162.28 and 54,415.50

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Solution

The fourth proportional to 180,775.80, 271,162.28 and 54,415.50 is: 81,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,775.80 : 271,162.28 = 54,415.50 : x
  2. Step 2: Convert to fraction form
    180,775.80/271,162.28 = 54,415.50/x
  3. Step 3: Cross multiply
    180,775.80x = 271,162.28 × 54,415.50
  4. Step 4: Simplify right side
    180,775.80x = 14,755,430,166.52
  5. Step 5: Solve for x
    x = 14,755,430,166.52/180,775.80
  6. Step 6: Final answer
    x = 81,622.82

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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.