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Finding the Fourth Proportional to 120,080.91, 180,125.01 and 41,194

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Solution

The fourth proportional to 120,080.91, 180,125.01 and 41,194 is: 61,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,080.91 : 180,125.01 = 41,194 : x
  2. Step 2: Convert to fraction form
    120,080.91/180,125.01 = 41,194/x
  3. Step 3: Cross multiply
    120,080.91x = 180,125.01 × 41,194
  4. Step 4: Simplify right side
    120,080.91x = 7,420,069,661.94
  5. Step 5: Solve for x
    x = 7,420,069,661.94/120,080.91
  6. Step 6: Final answer
    x = 61,792.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.