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Finding the Fourth Proportional to 135,171.81, 186,529.53 and 74,738.82

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Solution

The fourth proportional to 135,171.81, 186,529.53 and 74,738.82 is: 103,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,171.81 : 186,529.53 = 74,738.82 : x
  2. Step 2: Convert to fraction form
    135,171.81/186,529.53 = 74,738.82/x
  3. Step 3: Cross multiply
    135,171.81x = 186,529.53 × 74,738.82
  4. Step 4: Simplify right side
    135,171.81x = 13,940,996,967.35
  5. Step 5: Solve for x
    x = 13,940,996,967.35/135,171.81
  6. Step 6: Final answer
    x = 103,135.39

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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.