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Finding the Fourth Proportional to 180,791.92, 249,466.57 and 100,219.38

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Solution

The fourth proportional to 180,791.92, 249,466.57 and 100,219.38 is: 138,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,791.92 : 249,466.57 = 100,219.38 : x
  2. Step 2: Convert to fraction form
    180,791.92/249,466.57 = 100,219.38/x
  3. Step 3: Cross multiply
    180,791.92x = 249,466.57 × 100,219.38
  4. Step 4: Simplify right side
    180,791.92x = 25,001,384,976.13
  5. Step 5: Solve for x
    x = 25,001,384,976.13/180,791.92
  6. Step 6: Final answer
    x = 138,288.18

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Why These Related Problems?

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