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Finding the Fourth Proportional to 316,096.50, 474,046.32 and 105,685.23

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Solution

The fourth proportional to 316,096.50, 474,046.32 and 105,685.23 is: 158,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,096.50 : 474,046.32 = 105,685.23 : x
  2. Step 2: Convert to fraction form
    316,096.50/474,046.32 = 105,685.23/x
  3. Step 3: Cross multiply
    316,096.50x = 474,046.32 × 105,685.23
  4. Step 4: Simplify right side
    316,096.50x = 50,099,694,359.85
  5. Step 5: Solve for x
    x = 50,099,694,359.85/316,096.50
  6. Step 6: Final answer
    x = 158,494.94

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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.