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Finding the Fourth Proportional to 171,577.56, 257,081.82 and 121,408.98

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Solution

The fourth proportional to 171,577.56, 257,081.82 and 121,408.98 is: 181,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,577.56 : 257,081.82 = 121,408.98 : x
  2. Step 2: Convert to fraction form
    171,577.56/257,081.82 = 121,408.98/x
  3. Step 3: Cross multiply
    171,577.56x = 257,081.82 × 121,408.98
  4. Step 4: Simplify right side
    171,577.56x = 31,212,041,542.74
  5. Step 5: Solve for x
    x = 31,212,041,542.74/171,577.56
  6. Step 6: Final answer
    x = 181,912.14

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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.