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Finding the Fourth Proportional to 144,238.32, 199,024.56 and 80,576.64

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Solution

The fourth proportional to 144,238.32, 199,024.56 and 80,576.64 is: 111,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,238.32 : 199,024.56 = 80,576.64 : x
  2. Step 2: Convert to fraction form
    144,238.32/199,024.56 = 80,576.64/x
  3. Step 3: Cross multiply
    144,238.32x = 199,024.56 × 80,576.64
  4. Step 4: Simplify right side
    144,238.32x = 16,036,730,322.28
  5. Step 5: Solve for x
    x = 16,036,730,322.28/144,238.32
  6. Step 6: Final answer
    x = 111,182.18

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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.