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Finding the Fourth Proportional to 409,077.54, 613,709.26 and 124,793.51

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Solution

The fourth proportional to 409,077.54, 613,709.26 and 124,793.51 is: 187,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,077.54 : 613,709.26 = 124,793.51 : x
  2. Step 2: Convert to fraction form
    409,077.54/613,709.26 = 124,793.51/x
  3. Step 3: Cross multiply
    409,077.54x = 613,709.26 × 124,793.51
  4. Step 4: Simplify right side
    409,077.54x = 76,586,932,746.49
  5. Step 5: Solve for x
    x = 76,586,932,746.49/409,077.54
  6. Step 6: Final answer
    x = 187,218.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.