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Finding the Fourth Proportional to 171,776.07, 257,672.19 and 141,734.58

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Solution

The fourth proportional to 171,776.07, 257,672.19 and 141,734.58 is: 212,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,776.07 : 257,672.19 = 141,734.58 : x
  2. Step 2: Convert to fraction form
    171,776.07/257,672.19 = 141,734.58/x
  3. Step 3: Cross multiply
    171,776.07x = 257,672.19 × 141,734.58
  4. Step 4: Simplify right side
    171,776.07x = 36,521,059,627.33
  5. Step 5: Solve for x
    x = 36,521,059,627.33/171,776.07
  6. Step 6: Final answer
    x = 212,608.54

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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.