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Finding the Fourth Proportional to 135,905.85, 187,556.30 and 75,476.76

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Solution

The fourth proportional to 135,905.85, 187,556.30 and 75,476.76 is: 104,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,905.85 : 187,556.30 = 75,476.76 : x
  2. Step 2: Convert to fraction form
    135,905.85/187,556.30 = 75,476.76/x
  3. Step 3: Cross multiply
    135,905.85x = 187,556.30 × 75,476.76
  4. Step 4: Simplify right side
    135,905.85x = 14,156,141,464.20
  5. Step 5: Solve for x
    x = 14,156,141,464.20/135,905.85
  6. Step 6: Final answer
    x = 104,161.38

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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.