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Finding the Fourth Proportional to 374,167.85, 561,473.21 and 137,676.61

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Solution

The fourth proportional to 374,167.85, 561,473.21 and 137,676.61 is: 206,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,167.85 : 561,473.21 = 137,676.61 : x
  2. Step 2: Convert to fraction form
    374,167.85/561,473.21 = 137,676.61/x
  3. Step 3: Cross multiply
    374,167.85x = 561,473.21 × 137,676.61
  4. Step 4: Simplify right side
    374,167.85x = 77,301,727,099.13
  5. Step 5: Solve for x
    x = 77,301,727,099.13/374,167.85
  6. Step 6: Final answer
    x = 206,596.39

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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.