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Finding the Fourth Proportional to 135,367.36, 186,804.24 and 74,938

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Solution

The fourth proportional to 135,367.36, 186,804.24 and 74,938 is: 103,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,367.36 : 186,804.24 = 74,938 : x
  2. Step 2: Convert to fraction form
    135,367.36/186,804.24 = 74,938/x
  3. Step 3: Cross multiply
    135,367.36x = 186,804.24 × 74,938
  4. Step 4: Simplify right side
    135,367.36x = 13,998,736,137.12
  5. Step 5: Solve for x
    x = 13,998,736,137.12/135,367.36
  6. Step 6: Final answer
    x = 103,412.94

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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.