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Finding the Fourth Proportional to 256,701.60, 384,793.20 and 116,560.80

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Solution

The fourth proportional to 256,701.60, 384,793.20 and 116,560.80 is: 174,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,701.60 : 384,793.20 = 116,560.80 : x
  2. Step 2: Convert to fraction form
    256,701.60/384,793.20 = 116,560.80/x
  3. Step 3: Cross multiply
    256,701.60x = 384,793.20 × 116,560.80
  4. Step 4: Simplify right side
    256,701.60x = 44,851,803,226.56
  5. Step 5: Solve for x
    x = 44,851,803,226.56/256,701.60
  6. Step 6: Final answer
    x = 174,723.50

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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.