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Finding the Fourth Proportional to 253,056.64, 379,624.32 and 84,524.80

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Solution

The fourth proportional to 253,056.64, 379,624.32 and 84,524.80 is: 126,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,056.64 : 379,624.32 = 84,524.80 : x
  2. Step 2: Convert to fraction form
    253,056.64/379,624.32 = 84,524.80/x
  3. Step 3: Cross multiply
    253,056.64x = 379,624.32 × 84,524.80
  4. Step 4: Simplify right side
    253,056.64x = 32,087,669,723.14
  5. Step 5: Solve for x
    x = 32,087,669,723.14/253,056.64
  6. Step 6: Final answer
    x = 126,800.35

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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.