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Finding the Fourth Proportional to 171,461.82, 257,358.74 and 82,777.58

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Solution

The fourth proportional to 171,461.82, 257,358.74 and 82,777.58 is: 124,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,461.82 : 257,358.74 = 82,777.58 : x
  2. Step 2: Convert to fraction form
    171,461.82/257,358.74 = 82,777.58/x
  3. Step 3: Cross multiply
    171,461.82x = 257,358.74 × 82,777.58
  4. Step 4: Simplify right side
    171,461.82x = 21,303,531,988.37
  5. Step 5: Solve for x
    x = 21,303,531,988.37/171,461.82
  6. Step 6: Final answer
    x = 124,246.51

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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.