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Finding the Fourth Proportional to 200,454.71, 276,550.44 and 114,418.48

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Solution

The fourth proportional to 200,454.71, 276,550.44 and 114,418.48 is: 157,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,454.71 : 276,550.44 = 114,418.48 : x
  2. Step 2: Convert to fraction form
    200,454.71/276,550.44 = 114,418.48/x
  3. Step 3: Cross multiply
    200,454.71x = 276,550.44 × 114,418.48
  4. Step 4: Simplify right side
    200,454.71x = 31,642,480,493.49
  5. Step 5: Solve for x
    x = 31,642,480,493.49/200,454.71
  6. Step 6: Final answer
    x = 157,853.52

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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.