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Finding the Fourth Proportional to 209,216.56, 313,726.02 and 76,003.96

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Solution

The fourth proportional to 209,216.56, 313,726.02 and 76,003.96 is: 113,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.56 : 313,726.02 = 76,003.96 : x
  2. Step 2: Convert to fraction form
    209,216.56/313,726.02 = 76,003.96/x
  3. Step 3: Cross multiply
    209,216.56x = 313,726.02 × 76,003.96
  4. Step 4: Simplify right side
    209,216.56x = 23,844,419,875.04
  5. Step 5: Solve for x
    x = 23,844,419,875.04/209,216.56
  6. Step 6: Final answer
    x = 113,970.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.