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Finding the Fourth Proportional to 180,262.32, 270,431.58 and 67,940.16

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Solution

The fourth proportional to 180,262.32, 270,431.58 and 67,940.16 is: 101,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,262.32 : 270,431.58 = 67,940.16 : x
  2. Step 2: Convert to fraction form
    180,262.32/270,431.58 = 67,940.16/x
  3. Step 3: Cross multiply
    180,262.32x = 270,431.58 × 67,940.16
  4. Step 4: Simplify right side
    180,262.32x = 18,373,164,814.25
  5. Step 5: Solve for x
    x = 18,373,164,814.25/180,262.32
  6. Step 6: Final answer
    x = 101,924.60

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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.