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Finding the Fourth Proportional to 180,855.66, 249,576.57 and 100,282.44

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Solution

The fourth proportional to 180,855.66, 249,576.57 and 100,282.44 is: 138,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855.66 : 249,576.57 = 100,282.44 : x
  2. Step 2: Convert to fraction form
    180,855.66/249,576.57 = 100,282.44/x
  3. Step 3: Cross multiply
    180,855.66x = 249,576.57 × 100,282.44
  4. Step 4: Simplify right side
    180,855.66x = 25,028,147,406.43
  5. Step 5: Solve for x
    x = 25,028,147,406.43/180,855.66
  6. Step 6: Final answer
    x = 138,387.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.