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Finding the Fourth Proportional to 179,047.44, 247,091.52 and 98,478

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Solution

The fourth proportional to 179,047.44, 247,091.52 and 98,478 is: 135,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,047.44 : 247,091.52 = 98,478 : x
  2. Step 2: Convert to fraction form
    179,047.44/247,091.52 = 98,478/x
  3. Step 3: Cross multiply
    179,047.44x = 247,091.52 × 98,478
  4. Step 4: Simplify right side
    179,047.44x = 24,333,078,706.56
  5. Step 5: Solve for x
    x = 24,333,078,706.56/179,047.44
  6. Step 6: Final answer
    x = 135,902.97

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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.