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Finding the Fourth Proportional to 180,576.45, 249,236.97 and 120,149.64

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Solution

The fourth proportional to 180,576.45, 249,236.97 and 120,149.64 is: 165,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,576.45 : 249,236.97 = 120,149.64 : x
  2. Step 2: Convert to fraction form
    180,576.45/249,236.97 = 120,149.64/x
  3. Step 3: Cross multiply
    180,576.45x = 249,236.97 × 120,149.64
  4. Step 4: Simplify right side
    180,576.45x = 29,945,732,220.19
  5. Step 5: Solve for x
    x = 29,945,732,220.19/180,576.45
  6. Step 6: Final answer
    x = 165,834.10

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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.