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Finding the Fourth Proportional to 172,241.56, 258,222.93 and 53,851.96

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Solution

The fourth proportional to 172,241.56, 258,222.93 and 53,851.96 is: 80,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,241.56 : 258,222.93 = 53,851.96 : x
  2. Step 2: Convert to fraction form
    172,241.56/258,222.93 = 53,851.96/x
  3. Step 3: Cross multiply
    172,241.56x = 258,222.93 × 53,851.96
  4. Step 4: Simplify right side
    172,241.56x = 13,905,810,897.44
  5. Step 5: Solve for x
    x = 13,905,810,897.44/172,241.56
  6. Step 6: Final answer
    x = 80,734.35

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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.