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Finding the Fourth Proportional to 200,634.48, 276,898.60 and 114,607

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Solution

The fourth proportional to 200,634.48, 276,898.60 and 114,607 is: 158,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,634.48 : 276,898.60 = 114,607 : x
  2. Step 2: Convert to fraction form
    200,634.48/276,898.60 = 114,607/x
  3. Step 3: Cross multiply
    200,634.48x = 276,898.60 × 114,607
  4. Step 4: Simplify right side
    200,634.48x = 31,734,517,850.20
  5. Step 5: Solve for x
    x = 31,734,517,850.20/200,634.48
  6. Step 6: Final answer
    x = 158,170.81

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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.