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Finding the Fourth Proportional to 156,644.33, 234,978.84 and 44,322.75

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Solution

The fourth proportional to 156,644.33, 234,978.84 and 44,322.75 is: 66,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,644.33 : 234,978.84 = 44,322.75 : x
  2. Step 2: Convert to fraction form
    156,644.33/234,978.84 = 44,322.75/x
  3. Step 3: Cross multiply
    156,644.33x = 234,978.84 × 44,322.75
  4. Step 4: Simplify right side
    156,644.33x = 10,414,908,380.61
  5. Step 5: Solve for x
    x = 10,414,908,380.61/156,644.33
  6. Step 6: Final answer
    x = 66,487.62

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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.