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Finding the Fourth Proportional to 200,689.26, 276,954.30 and 110,053.50

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Solution

The fourth proportional to 200,689.26, 276,954.30 and 110,053.50 is: 151,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,689.26 : 276,954.30 = 110,053.50 : x
  2. Step 2: Convert to fraction form
    200,689.26/276,954.30 = 110,053.50/x
  3. Step 3: Cross multiply
    200,689.26x = 276,954.30 × 110,053.50
  4. Step 4: Simplify right side
    200,689.26x = 30,479,790,055.05
  5. Step 5: Solve for x
    x = 30,479,790,055.05/200,689.26
  6. Step 6: Final answer
    x = 151,875.54

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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.