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Finding the Fourth Proportional to 381,902.84, 572,961.50 and 112,037.34

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Solution

The fourth proportional to 381,902.84, 572,961.50 and 112,037.34 is: 168,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,902.84 : 572,961.50 = 112,037.34 : x
  2. Step 2: Convert to fraction form
    381,902.84/572,961.50 = 112,037.34/x
  3. Step 3: Cross multiply
    381,902.84x = 572,961.50 × 112,037.34
  4. Step 4: Simplify right side
    381,902.84x = 64,193,082,382.41
  5. Step 5: Solve for x
    x = 64,193,082,382.41/381,902.84
  6. Step 6: Final answer
    x = 168,087.47

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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.