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Finding the Fourth Proportional to 120,390.29, 180,573.92 and 41,493.65

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Solution

The fourth proportional to 120,390.29, 180,573.92 and 41,493.65 is: 62,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,390.29 : 180,573.92 = 41,493.65 : x
  2. Step 2: Convert to fraction form
    120,390.29/180,573.92 = 41,493.65/x
  3. Step 3: Cross multiply
    120,390.29x = 180,573.92 × 41,493.65
  4. Step 4: Simplify right side
    120,390.29x = 7,492,670,828.14
  5. Step 5: Solve for x
    x = 7,492,670,828.14/120,390.29
  6. Step 6: Final answer
    x = 62,236.50

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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.