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Finding the Fourth Proportional to 374,049.64, 561,212.70 and 137,546.92

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Solution

The fourth proportional to 374,049.64, 561,212.70 and 137,546.92 is: 206,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,049.64 : 561,212.70 = 137,546.92 : x
  2. Step 2: Convert to fraction form
    374,049.64/561,212.70 = 137,546.92/x
  3. Step 3: Cross multiply
    374,049.64x = 561,212.70 × 137,546.92
  4. Step 4: Simplify right side
    374,049.64x = 77,193,078,349.88
  5. Step 5: Solve for x
    x = 77,193,078,349.88/374,049.64
  6. Step 6: Final answer
    x = 206,371.21

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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.