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Finding the Fourth Proportional to 135,678.84, 187,234.01 and 75,239.73

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Solution

The fourth proportional to 135,678.84, 187,234.01 and 75,239.73 is: 103,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,678.84 : 187,234.01 = 75,239.73 : x
  2. Step 2: Convert to fraction form
    135,678.84/187,234.01 = 75,239.73/x
  3. Step 3: Cross multiply
    135,678.84x = 187,234.01 × 75,239.73
  4. Step 4: Simplify right side
    135,678.84x = 14,087,436,359.22
  5. Step 5: Solve for x
    x = 14,087,436,359.22/135,678.84
  6. Step 6: Final answer
    x = 103,829.28

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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.