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Finding the Fourth Proportional to 136,189, 187,940.82 and 76,573

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Solution

The fourth proportional to 136,189, 187,940.82 and 76,573 is: 105,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,189 : 187,940.82 = 76,573 : x
  2. Step 2: Convert to fraction form
    136,189/187,940.82 = 76,573/x
  3. Step 3: Cross multiply
    136,189x = 187,940.82 × 76,573
  4. Step 4: Simplify right side
    136,189x = 14,391,192,409.86
  5. Step 5: Solve for x
    x = 14,391,192,409.86/136,189
  6. Step 6: Final answer
    x = 105,670.74

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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.