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Finding the Fourth Proportional to 180,919.26, 249,636.30 and 109,251.30

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Solution

The fourth proportional to 180,919.26, 249,636.30 and 109,251.30 is: 150,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,919.26 : 249,636.30 = 109,251.30 : x
  2. Step 2: Convert to fraction form
    180,919.26/249,636.30 = 109,251.30/x
  3. Step 3: Cross multiply
    180,919.26x = 249,636.30 × 109,251.30
  4. Step 4: Simplify right side
    180,919.26x = 27,273,090,302.19
  5. Step 5: Solve for x
    x = 27,273,090,302.19/180,919.26
  6. Step 6: Final answer
    x = 150,747.30

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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.