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Finding the Fourth Proportional to 208,588.28, 287,770.42 and 136,076.42

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Solution

The fourth proportional to 208,588.28, 287,770.42 and 136,076.42 is: 187,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,588.28 : 287,770.42 = 136,076.42 : x
  2. Step 2: Convert to fraction form
    208,588.28/287,770.42 = 136,076.42/x
  3. Step 3: Cross multiply
    208,588.28x = 287,770.42 × 136,076.42
  4. Step 4: Simplify right side
    208,588.28x = 39,158,766,756.45
  5. Step 5: Solve for x
    x = 39,158,766,756.45/208,588.28
  6. Step 6: Final answer
    x = 187,732.34

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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.