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Finding the Fourth Proportional to 135,038.25, 186,352.79 and 75,422.25

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Solution

The fourth proportional to 135,038.25, 186,352.79 and 75,422.25 is: 104,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,038.25 : 186,352.79 = 75,422.25 : x
  2. Step 2: Convert to fraction form
    135,038.25/186,352.79 = 75,422.25/x
  3. Step 3: Cross multiply
    135,038.25x = 186,352.79 × 75,422.25
  4. Step 4: Simplify right side
    135,038.25x = 14,055,146,338.47
  5. Step 5: Solve for x
    x = 14,055,146,338.47/135,038.25
  6. Step 6: Final answer
    x = 104,082.71

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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.