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Finding the Fourth Proportional to 171,583.56, 257,090.82 and 121,414.98

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Solution

The fourth proportional to 171,583.56, 257,090.82 and 121,414.98 is: 181,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,583.56 : 257,090.82 = 121,414.98 : x
  2. Step 2: Convert to fraction form
    171,583.56/257,090.82 = 121,414.98/x
  3. Step 3: Cross multiply
    171,583.56x = 257,090.82 × 121,414.98
  4. Step 4: Simplify right side
    171,583.56x = 31,214,676,768.48
  5. Step 5: Solve for x
    x = 31,214,676,768.48/171,583.56
  6. Step 6: Final answer
    x = 181,921.14

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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.