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Finding the Fourth Proportional to 254,343.96, 351,058.50 and 146,976.48

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Solution

The fourth proportional to 254,343.96, 351,058.50 and 146,976.48 is: 202,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,343.96 : 351,058.50 = 146,976.48 : x
  2. Step 2: Convert to fraction form
    254,343.96/351,058.50 = 146,976.48/x
  3. Step 3: Cross multiply
    254,343.96x = 351,058.50 × 146,976.48
  4. Step 4: Simplify right side
    254,343.96x = 51,597,342,604.08
  5. Step 5: Solve for x
    x = 51,597,342,604.08/254,343.96
  6. Step 6: Final answer
    x = 202,864.43

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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.