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Finding the Fourth Proportional to 256,422.30, 384,704.55 and 106,733.10

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Solution

The fourth proportional to 256,422.30, 384,704.55 and 106,733.10 is: 160,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.30 : 384,704.55 = 106,733.10 : x
  2. Step 2: Convert to fraction form
    256,422.30/384,704.55 = 106,733.10/x
  3. Step 3: Cross multiply
    256,422.30x = 384,704.55 × 106,733.10
  4. Step 4: Simplify right side
    256,422.30x = 41,060,709,205.61
  5. Step 5: Solve for x
    x = 41,060,709,205.61/256,422.30
  6. Step 6: Final answer
    x = 160,129.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.