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Finding the Fourth Proportional to 172,961.42, 259,420.66 and 46,611.55

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Solution

The fourth proportional to 172,961.42, 259,420.66 and 46,611.55 is: 69,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,961.42 : 259,420.66 = 46,611.55 : x
  2. Step 2: Convert to fraction form
    172,961.42/259,420.66 = 46,611.55/x
  3. Step 3: Cross multiply
    172,961.42x = 259,420.66 × 46,611.55
  4. Step 4: Simplify right side
    172,961.42x = 12,091,999,064.62
  5. Step 5: Solve for x
    x = 12,091,999,064.62/172,961.42
  6. Step 6: Final answer
    x = 69,911.54

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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.