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Finding the Fourth Proportional to 120,293.84, 180,375.48 and 36,042.32

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Solution

The fourth proportional to 120,293.84, 180,375.48 and 36,042.32 is: 54,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,293.84 : 180,375.48 = 36,042.32 : x
  2. Step 2: Convert to fraction form
    120,293.84/180,375.48 = 36,042.32/x
  3. Step 3: Cross multiply
    120,293.84x = 180,375.48 × 36,042.32
  4. Step 4: Simplify right side
    120,293.84x = 6,501,150,770.31
  5. Step 5: Solve for x
    x = 6,501,150,770.31/120,293.84
  6. Step 6: Final answer
    x = 54,043.92

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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.