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Finding the Fourth Proportional to 128,012.56, 176,615.20 and 82,717.24

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Solution

The fourth proportional to 128,012.56, 176,615.20 and 82,717.24 is: 114,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,012.56 : 176,615.20 = 82,717.24 : x
  2. Step 2: Convert to fraction form
    128,012.56/176,615.20 = 82,717.24/x
  3. Step 3: Cross multiply
    128,012.56x = 176,615.20 × 82,717.24
  4. Step 4: Simplify right side
    128,012.56x = 14,609,121,886.05
  5. Step 5: Solve for x
    x = 14,609,121,886.05/128,012.56
  6. Step 6: Final answer
    x = 114,122.57

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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.