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Finding the Fourth Proportional to 180,252.94, 270,418.20 and 53,903.20

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Solution

The fourth proportional to 180,252.94, 270,418.20 and 53,903.20 is: 80,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,252.94 : 270,418.20 = 53,903.20 : x
  2. Step 2: Convert to fraction form
    180,252.94/270,418.20 = 53,903.20/x
  3. Step 3: Cross multiply
    180,252.94x = 270,418.20 × 53,903.20
  4. Step 4: Simplify right side
    180,252.94x = 14,576,406,318.24
  5. Step 5: Solve for x
    x = 14,576,406,318.24/180,252.94
  6. Step 6: Final answer
    x = 80,866.40

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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.