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Finding the Fourth Proportional to 247,880.44, 342,077.34 and 147,259

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Solution

The fourth proportional to 247,880.44, 342,077.34 and 147,259 is: 203,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,880.44 : 342,077.34 = 147,259 : x
  2. Step 2: Convert to fraction form
    247,880.44/342,077.34 = 147,259/x
  3. Step 3: Cross multiply
    247,880.44x = 342,077.34 × 147,259
  4. Step 4: Simplify right side
    247,880.44x = 50,373,967,011.06
  5. Step 5: Solve for x
    x = 50,373,967,011.06/247,880.44
  6. Step 6: Final answer
    x = 203,218.81

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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.