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Finding the Fourth Proportional to 171,430, 257,311.26 and 82,745.98

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Solution

The fourth proportional to 171,430, 257,311.26 and 82,745.98 is: 124,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,430 : 257,311.26 = 82,745.98 : x
  2. Step 2: Convert to fraction form
    171,430/257,311.26 = 82,745.98/x
  3. Step 3: Cross multiply
    171,430x = 257,311.26 × 82,745.98
  4. Step 4: Simplify right side
    171,430x = 21,291,472,373.73
  5. Step 5: Solve for x
    x = 21,291,472,373.73/171,430
  6. Step 6: Final answer
    x = 124,199.22

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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.