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Finding the Fourth Proportional to 247,822.63, 342,024.38 and 147,220.63

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Solution

The fourth proportional to 247,822.63, 342,024.38 and 147,220.63 is: 203,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,822.63 : 342,024.38 = 147,220.63 : x
  2. Step 2: Convert to fraction form
    247,822.63/342,024.38 = 147,220.63/x
  3. Step 3: Cross multiply
    247,822.63x = 342,024.38 × 147,220.63
  4. Step 4: Simplify right side
    247,822.63x = 50,353,044,698.96
  5. Step 5: Solve for x
    x = 50,353,044,698.96/247,822.63
  6. Step 6: Final answer
    x = 203,181.79

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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.