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Finding the Fourth Proportional to 187,878.92, 259,299.60 and 116,282

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Solution

The fourth proportional to 187,878.92, 259,299.60 and 116,282 is: 160,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,878.92 : 259,299.60 = 116,282 : x
  2. Step 2: Convert to fraction form
    187,878.92/259,299.60 = 116,282/x
  3. Step 3: Cross multiply
    187,878.92x = 259,299.60 × 116,282
  4. Step 4: Simplify right side
    187,878.92x = 30,151,876,087.20
  5. Step 5: Solve for x
    x = 30,151,876,087.20/187,878.92
  6. Step 6: Final answer
    x = 160,485.68

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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.