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Finding the Fourth Proportional to 171,893.80, 257,840.70 and 162,052.30

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Solution

The fourth proportional to 171,893.80, 257,840.70 and 162,052.30 is: 243,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,893.80 : 257,840.70 = 162,052.30 : x
  2. Step 2: Convert to fraction form
    171,893.80/257,840.70 = 162,052.30/x
  3. Step 3: Cross multiply
    171,893.80x = 257,840.70 × 162,052.30
  4. Step 4: Simplify right side
    171,893.80x = 41,783,678,468.61
  5. Step 5: Solve for x
    x = 41,783,678,468.61/171,893.80
  6. Step 6: Final answer
    x = 243,078.45

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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.