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Finding the Fourth Proportional to 171,714.56, 257,599.47 and 82,974.59

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Solution

The fourth proportional to 171,714.56, 257,599.47 and 82,974.59 is: 124,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,714.56 : 257,599.47 = 82,974.59 : x
  2. Step 2: Convert to fraction form
    171,714.56/257,599.47 = 82,974.59/x
  3. Step 3: Cross multiply
    171,714.56x = 257,599.47 × 82,974.59
  4. Step 4: Simplify right side
    171,714.56x = 21,374,210,407.47
  5. Step 5: Solve for x
    x = 21,374,210,407.47/171,714.56
  6. Step 6: Final answer
    x = 124,475.24

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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.