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Finding the Fourth Proportional to 135,635.76, 187,176.44 and 75,206.44

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Solution

The fourth proportional to 135,635.76, 187,176.44 and 75,206.44 is: 103,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,635.76 : 187,176.44 = 75,206.44 : x
  2. Step 2: Convert to fraction form
    135,635.76/187,176.44 = 75,206.44/x
  3. Step 3: Cross multiply
    135,635.76x = 187,176.44 × 75,206.44
  4. Step 4: Simplify right side
    135,635.76x = 14,076,873,704.27
  5. Step 5: Solve for x
    x = 14,076,873,704.27/135,635.76
  6. Step 6: Final answer
    x = 103,784.38

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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.