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Finding the Fourth Proportional to 208,906.40, 288,289.92 and 113,412.32

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Solution

The fourth proportional to 208,906.40, 288,289.92 and 113,412.32 is: 156,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,906.40 : 288,289.92 = 113,412.32 : x
  2. Step 2: Convert to fraction form
    208,906.40/288,289.92 = 113,412.32/x
  3. Step 3: Cross multiply
    208,906.40x = 288,289.92 × 113,412.32
  4. Step 4: Simplify right side
    208,906.40x = 32,695,628,659.81
  5. Step 5: Solve for x
    x = 32,695,628,659.81/208,906.40
  6. Step 6: Final answer
    x = 156,508.51

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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.