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Finding the Fourth Proportional to 200,489.17, 276,606.94 and 114,386.30

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Solution

The fourth proportional to 200,489.17, 276,606.94 and 114,386.30 is: 157,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.17 : 276,606.94 = 114,386.30 : x
  2. Step 2: Convert to fraction form
    200,489.17/276,606.94 = 114,386.30/x
  3. Step 3: Cross multiply
    200,489.17x = 276,606.94 × 114,386.30
  4. Step 4: Simplify right side
    200,489.17x = 31,640,043,729.40
  5. Step 5: Solve for x
    x = 31,640,043,729.40/200,489.17
  6. Step 6: Final answer
    x = 157,814.23

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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.