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Finding the Fourth Proportional to 200,380.60, 276,458.10 and 115,495.84

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Solution

The fourth proportional to 200,380.60, 276,458.10 and 115,495.84 is: 159,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,380.60 : 276,458.10 = 115,495.84 : x
  2. Step 2: Convert to fraction form
    200,380.60/276,458.10 = 115,495.84/x
  3. Step 3: Cross multiply
    200,380.60x = 276,458.10 × 115,495.84
  4. Step 4: Simplify right side
    200,380.60x = 31,929,760,484.30
  5. Step 5: Solve for x
    x = 31,929,760,484.30/200,380.60
  6. Step 6: Final answer
    x = 159,345.57

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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.