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Finding the Fourth Proportional to 208,813.28, 288,164.44 and 113,320.80

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Solution

The fourth proportional to 208,813.28, 288,164.44 and 113,320.80 is: 156,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,813.28 : 288,164.44 = 113,320.80 : x
  2. Step 2: Convert to fraction form
    208,813.28/288,164.44 = 113,320.80/x
  3. Step 3: Cross multiply
    208,813.28x = 288,164.44 × 113,320.80
  4. Step 4: Simplify right side
    208,813.28x = 32,655,024,872.35
  5. Step 5: Solve for x
    x = 32,655,024,872.35/208,813.28
  6. Step 6: Final answer
    x = 156,383.85

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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.