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Finding the Fourth Proportional to 208,814.42, 288,164.07 and 113,321.09

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Solution

The fourth proportional to 208,814.42, 288,164.07 and 113,321.09 is: 156,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,814.42 : 288,164.07 = 113,321.09 : x
  2. Step 2: Convert to fraction form
    208,814.42/288,164.07 = 113,321.09/x
  3. Step 3: Cross multiply
    208,814.42x = 288,164.07 × 113,321.09
  4. Step 4: Simplify right side
    208,814.42x = 32,655,066,511.24
  5. Step 5: Solve for x
    x = 32,655,066,511.24/208,814.42
  6. Step 6: Final answer
    x = 156,383.20

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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.