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Finding the Fourth Proportional to 135,464.54, 186,932.84 and 75,031.65

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Solution

The fourth proportional to 135,464.54, 186,932.84 and 75,031.65 is: 103,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,464.54 : 186,932.84 = 75,031.65 : x
  2. Step 2: Convert to fraction form
    135,464.54/186,932.84 = 75,031.65/x
  3. Step 3: Cross multiply
    135,464.54x = 186,932.84 × 75,031.65
  4. Step 4: Simplify right side
    135,464.54x = 14,025,879,049.23
  5. Step 5: Solve for x
    x = 14,025,879,049.23/135,464.54
  6. Step 6: Final answer
    x = 103,539.12

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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.