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Finding the Fourth Proportional to 120,264.52, 180,414.06 and 37,165

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Solution

The fourth proportional to 120,264.52, 180,414.06 and 37,165 is: 55,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.52 : 180,414.06 = 37,165 : x
  2. Step 2: Convert to fraction form
    120,264.52/180,414.06 = 37,165/x
  3. Step 3: Cross multiply
    120,264.52x = 180,414.06 × 37,165
  4. Step 4: Simplify right side
    120,264.52x = 6,705,088,539.90
  5. Step 5: Solve for x
    x = 6,705,088,539.90/120,264.52
  6. Step 6: Final answer
    x = 55,752.84

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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.