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Finding the Fourth Proportional to 177,856.44, 245,371.71 and 109,754.74

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Solution

The fourth proportional to 177,856.44, 245,371.71 and 109,754.74 is: 151,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856.44 : 245,371.71 = 109,754.74 : x
  2. Step 2: Convert to fraction form
    177,856.44/245,371.71 = 109,754.74/x
  3. Step 3: Cross multiply
    177,856.44x = 245,371.71 × 109,754.74
  4. Step 4: Simplify right side
    177,856.44x = 26,930,708,234.41
  5. Step 5: Solve for x
    x = 26,930,708,234.41/177,856.44
  6. Step 6: Final answer
    x = 151,418.24

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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.