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Finding the Fourth Proportional to 253,000.94, 379,377.48 and 84,463.43

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Solution

The fourth proportional to 253,000.94, 379,377.48 and 84,463.43 is: 126,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,000.94 : 379,377.48 = 84,463.43 : x
  2. Step 2: Convert to fraction form
    253,000.94/379,377.48 = 84,463.43/x
  3. Step 3: Cross multiply
    253,000.94x = 379,377.48 × 84,463.43
  4. Step 4: Simplify right side
    253,000.94x = 32,043,523,225.56
  5. Step 5: Solve for x
    x = 32,043,523,225.56/253,000.94
  6. Step 6: Final answer
    x = 126,653.77

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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.