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Finding the Fourth Proportional to 135,654, 187,204.80 and 75,227.22

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Solution

The fourth proportional to 135,654, 187,204.80 and 75,227.22 is: 103,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654 : 187,204.80 = 75,227.22 : x
  2. Step 2: Convert to fraction form
    135,654/187,204.80 = 75,227.22/x
  3. Step 3: Cross multiply
    135,654x = 187,204.80 × 75,227.22
  4. Step 4: Simplify right side
    135,654x = 14,082,896,674.66
  5. Step 5: Solve for x
    x = 14,082,896,674.66/135,654
  6. Step 6: Final answer
    x = 103,814.83

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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.