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Finding the Fourth Proportional to 208,833.40, 288,190.31 and 113,340.16

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Solution

The fourth proportional to 208,833.40, 288,190.31 and 113,340.16 is: 156,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,833.40 : 288,190.31 = 113,340.16 : x
  2. Step 2: Convert to fraction form
    208,833.40/288,190.31 = 113,340.16/x
  3. Step 3: Cross multiply
    208,833.40x = 288,190.31 × 113,340.16
  4. Step 4: Simplify right side
    208,833.40x = 32,663,535,845.85
  5. Step 5: Solve for x
    x = 32,663,535,845.85/208,833.40
  6. Step 6: Final answer
    x = 156,409.54

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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.