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Finding the Fourth Proportional to 200,077.90, 276,116.34 and 115,222.30

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Solution

The fourth proportional to 200,077.90, 276,116.34 and 115,222.30 is: 159,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,077.90 : 276,116.34 = 115,222.30 : x
  2. Step 2: Convert to fraction form
    200,077.90/276,116.34 = 115,222.30/x
  3. Step 3: Cross multiply
    200,077.90x = 276,116.34 × 115,222.30
  4. Step 4: Simplify right side
    200,077.90x = 31,814,759,504.17
  5. Step 5: Solve for x
    x = 31,814,759,504.17/200,077.90
  6. Step 6: Final answer
    x = 159,011.86

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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.