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Finding the Fourth Proportional to 200,208.92, 276,291.91 and 114,177.80

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Solution

The fourth proportional to 200,208.92, 276,291.91 and 114,177.80 is: 157,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,208.92 : 276,291.91 = 114,177.80 : x
  2. Step 2: Convert to fraction form
    200,208.92/276,291.91 = 114,177.80/x
  3. Step 3: Cross multiply
    200,208.92x = 276,291.91 × 114,177.80
  4. Step 4: Simplify right side
    200,208.92x = 31,546,403,275.05
  5. Step 5: Solve for x
    x = 31,546,403,275.05/200,208.92
  6. Step 6: Final answer
    x = 157,567.43

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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.