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Finding the Fourth Proportional to 135,665.10, 187,204.50 and 75,234.69

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Solution

The fourth proportional to 135,665.10, 187,204.50 and 75,234.69 is: 103,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,665.10 : 187,204.50 = 75,234.69 : x
  2. Step 2: Convert to fraction form
    135,665.10/187,204.50 = 75,234.69/x
  3. Step 3: Cross multiply
    135,665.10x = 187,204.50 × 75,234.69
  4. Step 4: Simplify right side
    135,665.10x = 14,084,272,524.11
  5. Step 5: Solve for x
    x = 14,084,272,524.11/135,665.10
  6. Step 6: Final answer
    x = 103,816.48

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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.