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Finding the Fourth Proportional to 171,965, 237,311.70 and 96,513.50

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Solution

The fourth proportional to 171,965, 237,311.70 and 96,513.50 is: 133,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,965 : 237,311.70 = 96,513.50 : x
  2. Step 2: Convert to fraction form
    171,965/237,311.70 = 96,513.50/x
  3. Step 3: Cross multiply
    171,965x = 237,311.70 × 96,513.50
  4. Step 4: Simplify right side
    171,965x = 22,903,782,757.95
  5. Step 5: Solve for x
    x = 22,903,782,757.95/171,965
  6. Step 6: Final answer
    x = 133,188.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.