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Finding the Fourth Proportional to 120,083.16, 180,128.40 and 41,196.25

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Solution

The fourth proportional to 120,083.16, 180,128.40 and 41,196.25 is: 61,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.16 : 180,128.40 = 41,196.25 : x
  2. Step 2: Convert to fraction form
    120,083.16/180,128.40 = 41,196.25/x
  3. Step 3: Cross multiply
    120,083.16x = 180,128.40 × 41,196.25
  4. Step 4: Simplify right side
    120,083.16x = 7,420,614,598.50
  5. Step 5: Solve for x
    x = 7,420,614,598.50/120,083.16
  6. Step 6: Final answer
    x = 61,795.63

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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.