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Finding the Fourth Proportional to 381,900.83, 572,958.49 and 112,035.34

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Solution

The fourth proportional to 381,900.83, 572,958.49 and 112,035.34 is: 168,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,900.83 : 572,958.49 = 112,035.34 : x
  2. Step 2: Convert to fraction form
    381,900.83/572,958.49 = 112,035.34/x
  3. Step 3: Cross multiply
    381,900.83x = 572,958.49 × 112,035.34
  4. Step 4: Simplify right side
    381,900.83x = 64,191,599,467.37
  5. Step 5: Solve for x
    x = 64,191,599,467.37/381,900.83
  6. Step 6: Final answer
    x = 168,084.47

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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.