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Finding the Fourth Proportional to 180,083.62, 270,164.62 and 61,757.80

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Solution

The fourth proportional to 180,083.62, 270,164.62 and 61,757.80 is: 92,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,083.62 : 270,164.62 = 61,757.80 : x
  2. Step 2: Convert to fraction form
    180,083.62/270,164.62 = 61,757.80/x
  3. Step 3: Cross multiply
    180,083.62x = 270,164.62 × 61,757.80
  4. Step 4: Simplify right side
    180,083.62x = 16,684,772,569.04
  5. Step 5: Solve for x
    x = 16,684,772,569.04/180,083.62
  6. Step 6: Final answer
    x = 92,650.14

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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.