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Finding the Fourth Proportional to 173,664.89, 260,076.90 and 120,207.09

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Solution

The fourth proportional to 173,664.89, 260,076.90 and 120,207.09 is: 180,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,664.89 : 260,076.90 = 120,207.09 : x
  2. Step 2: Convert to fraction form
    173,664.89/260,076.90 = 120,207.09/x
  3. Step 3: Cross multiply
    173,664.89x = 260,076.90 × 120,207.09
  4. Step 4: Simplify right side
    173,664.89x = 31,263,086,950.27
  5. Step 5: Solve for x
    x = 31,263,086,950.27/173,664.89
  6. Step 6: Final answer
    x = 180,019.62

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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.