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Finding the Fourth Proportional to 135,940.64, 187,595.46 and 75,508.56

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Solution

The fourth proportional to 135,940.64, 187,595.46 and 75,508.56 is: 104,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,940.64 : 187,595.46 = 75,508.56 : x
  2. Step 2: Convert to fraction form
    135,940.64/187,595.46 = 75,508.56/x
  3. Step 3: Cross multiply
    135,940.64x = 187,595.46 × 75,508.56
  4. Step 4: Simplify right side
    135,940.64x = 14,165,063,047.14
  5. Step 5: Solve for x
    x = 14,165,063,047.14/135,940.64
  6. Step 6: Final answer
    x = 104,200.36

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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.