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Finding the Fourth Proportional to 135,140.52, 186,494.14 and 75,524.52

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Solution

The fourth proportional to 135,140.52, 186,494.14 and 75,524.52 is: 104,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,140.52 : 186,494.14 = 75,524.52 : x
  2. Step 2: Convert to fraction form
    135,140.52/186,494.14 = 75,524.52/x
  3. Step 3: Cross multiply
    135,140.52x = 186,494.14 × 75,524.52
  4. Step 4: Simplify right side
    135,140.52x = 14,084,880,406.31
  5. Step 5: Solve for x
    x = 14,084,880,406.31/135,140.52
  6. Step 6: Final answer
    x = 104,223.96

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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.