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Finding the Fourth Proportional to 316,105.50, 474,059.82 and 105,694.26

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Solution

The fourth proportional to 316,105.50, 474,059.82 and 105,694.26 is: 158,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,105.50 : 474,059.82 = 105,694.26 : x
  2. Step 2: Convert to fraction form
    316,105.50/474,059.82 = 105,694.26/x
  3. Step 3: Cross multiply
    316,105.50x = 474,059.82 × 105,694.26
  4. Step 4: Simplify right side
    316,105.50x = 50,105,401,870.63
  5. Step 5: Solve for x
    x = 50,105,401,870.63/316,105.50
  6. Step 6: Final answer
    x = 158,508.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.