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Finding the Fourth Proportional to 120,265.52, 180,415.56 and 37,166

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Solution

The fourth proportional to 120,265.52, 180,415.56 and 37,166 is: 55,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,265.52 : 180,415.56 = 37,166 : x
  2. Step 2: Convert to fraction form
    120,265.52/180,415.56 = 37,166/x
  3. Step 3: Cross multiply
    120,265.52x = 180,415.56 × 37,166
  4. Step 4: Simplify right side
    120,265.52x = 6,705,324,702.96
  5. Step 5: Solve for x
    x = 6,705,324,702.96/120,265.52
  6. Step 6: Final answer
    x = 55,754.34

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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.