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Finding the Fourth Proportional to 172,829.10, 259,243.65 and 54,512.40

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Solution

The fourth proportional to 172,829.10, 259,243.65 and 54,512.40 is: 81,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,829.10 : 259,243.65 = 54,512.40 : x
  2. Step 2: Convert to fraction form
    172,829.10/259,243.65 = 54,512.40/x
  3. Step 3: Cross multiply
    172,829.10x = 259,243.65 × 54,512.40
  4. Step 4: Simplify right side
    172,829.10x = 14,131,993,546.26
  5. Step 5: Solve for x
    x = 14,131,993,546.26/172,829.10
  6. Step 6: Final answer
    x = 81,768.60

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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.