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Finding the Fourth Proportional to 180,231.12, 270,329.40 and 55,538.64

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Solution

The fourth proportional to 180,231.12, 270,329.40 and 55,538.64 is: 83,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,231.12 : 270,329.40 = 55,538.64 : x
  2. Step 2: Convert to fraction form
    180,231.12/270,329.40 = 55,538.64/x
  3. Step 3: Cross multiply
    180,231.12x = 270,329.40 × 55,538.64
  4. Step 4: Simplify right side
    180,231.12x = 15,013,727,228.02
  5. Step 5: Solve for x
    x = 15,013,727,228.02/180,231.12
  6. Step 6: Final answer
    x = 83,302.64

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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.