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Finding the Fourth Proportional to 208,519.70, 287,757.80 and 113,026.77

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Solution

The fourth proportional to 208,519.70, 287,757.80 and 113,026.77 is: 155,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,519.70 : 287,757.80 = 113,026.77 : x
  2. Step 2: Convert to fraction form
    208,519.70/287,757.80 = 113,026.77/x
  3. Step 3: Cross multiply
    208,519.70x = 287,757.80 × 113,026.77
  4. Step 4: Simplify right side
    208,519.70x = 32,524,334,676.31
  5. Step 5: Solve for x
    x = 32,524,334,676.31/208,519.70
  6. Step 6: Final answer
    x = 155,977.28

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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.