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Finding the Fourth Proportional to 165,041.44, 227,741.44 and 131,132

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Solution

The fourth proportional to 165,041.44, 227,741.44 and 131,132 is: 180,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,041.44 : 227,741.44 = 131,132 : x
  2. Step 2: Convert to fraction form
    165,041.44/227,741.44 = 131,132/x
  3. Step 3: Cross multiply
    165,041.44x = 227,741.44 × 131,132
  4. Step 4: Simplify right side
    165,041.44x = 29,864,190,510.08
  5. Step 5: Solve for x
    x = 29,864,190,510.08/165,041.44
  6. Step 6: Final answer
    x = 180,949.65

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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.