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Finding the Fourth Proportional to 208,999.26, 288,419.81 and 113,507.55

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Solution

The fourth proportional to 208,999.26, 288,419.81 and 113,507.55 is: 156,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.26 : 288,419.81 = 113,507.55 : x
  2. Step 2: Convert to fraction form
    208,999.26/288,419.81 = 113,507.55/x
  3. Step 3: Cross multiply
    208,999.26x = 288,419.81 × 113,507.55
  4. Step 4: Simplify right side
    208,999.26x = 32,737,825,437.03
  5. Step 5: Solve for x
    x = 32,737,825,437.03/208,999.26
  6. Step 6: Final answer
    x = 156,640.87

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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.