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Finding the Fourth Proportional to 173,083.60, 259,649.70 and 54,742.60

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Solution

The fourth proportional to 173,083.60, 259,649.70 and 54,742.60 is: 82,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,083.60 : 259,649.70 = 54,742.60 : x
  2. Step 2: Convert to fraction form
    173,083.60/259,649.70 = 54,742.60/x
  3. Step 3: Cross multiply
    173,083.60x = 259,649.70 × 54,742.60
  4. Step 4: Simplify right side
    173,083.60x = 14,213,899,667.22
  5. Step 5: Solve for x
    x = 14,213,899,667.22/173,083.60
  6. Step 6: Final answer
    x = 82,121.59

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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.