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Finding the Fourth Proportional to 173,214.94, 259,829.64 and 54,883.66

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Solution

The fourth proportional to 173,214.94, 259,829.64 and 54,883.66 is: 82,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,214.94 : 259,829.64 = 54,883.66 : x
  2. Step 2: Convert to fraction form
    173,214.94/259,829.64 = 54,883.66/x
  3. Step 3: Cross multiply
    173,214.94x = 259,829.64 × 54,883.66
  4. Step 4: Simplify right side
    173,214.94x = 14,260,401,619.68
  5. Step 5: Solve for x
    x = 14,260,401,619.68/173,214.94
  6. Step 6: Final answer
    x = 82,327.78

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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.