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Finding the Fourth Proportional to 128,164.82, 176,855.31 and 74,448.38

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Solution

The fourth proportional to 128,164.82, 176,855.31 and 74,448.38 is: 102,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,164.82 : 176,855.31 = 74,448.38 : x
  2. Step 2: Convert to fraction form
    128,164.82/176,855.31 = 74,448.38/x
  3. Step 3: Cross multiply
    128,164.82x = 176,855.31 × 74,448.38
  4. Step 4: Simplify right side
    128,164.82x = 13,166,591,323.90
  5. Step 5: Solve for x
    x = 13,166,591,323.90/128,164.82
  6. Step 6: Final answer
    x = 102,731.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.