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Finding the Fourth Proportional to 177,856.94, 245,372.40 and 109,755.24

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Solution

The fourth proportional to 177,856.94, 245,372.40 and 109,755.24 is: 151,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856.94 : 245,372.40 = 109,755.24 : x
  2. Step 2: Convert to fraction form
    177,856.94/245,372.40 = 109,755.24/x
  3. Step 3: Cross multiply
    177,856.94x = 245,372.40 × 109,755.24
  4. Step 4: Simplify right side
    177,856.94x = 26,930,906,651.38
  5. Step 5: Solve for x
    x = 26,930,906,651.38/177,856.94
  6. Step 6: Final answer
    x = 151,418.93

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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.