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Finding the Fourth Proportional to 256,430.20, 384,687.10 and 78,937.24

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Solution

The fourth proportional to 256,430.20, 384,687.10 and 78,937.24 is: 118,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,430.20 : 384,687.10 = 78,937.24 : x
  2. Step 2: Convert to fraction form
    256,430.20/384,687.10 = 78,937.24/x
  3. Step 3: Cross multiply
    256,430.20x = 384,687.10 × 78,937.24
  4. Step 4: Simplify right side
    256,430.20x = 30,366,137,937.60
  5. Step 5: Solve for x
    x = 30,366,137,937.60/256,430.20
  6. Step 6: Final answer
    x = 118,418.73

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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.