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Finding the Fourth Proportional to 200,893.32, 277,273.80 and 115,998.84

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Solution

The fourth proportional to 200,893.32, 277,273.80 and 115,998.84 is: 160,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,893.32 : 277,273.80 = 115,998.84 : x
  2. Step 2: Convert to fraction form
    200,893.32/277,273.80 = 115,998.84/x
  3. Step 3: Cross multiply
    200,893.32x = 277,273.80 × 115,998.84
  4. Step 4: Simplify right side
    200,893.32x = 32,163,439,162.39
  5. Step 5: Solve for x
    x = 32,163,439,162.39/200,893.32
  6. Step 6: Final answer
    x = 160,102.08

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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.