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Finding the Fourth Proportional to 354,441.72, 531,691.38 and 105,123

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Solution

The fourth proportional to 354,441.72, 531,691.38 and 105,123 is: 157,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,441.72 : 531,691.38 = 105,123 : x
  2. Step 2: Convert to fraction form
    354,441.72/531,691.38 = 105,123/x
  3. Step 3: Cross multiply
    354,441.72x = 531,691.38 × 105,123
  4. Step 4: Simplify right side
    354,441.72x = 55,892,992,939.74
  5. Step 5: Solve for x
    x = 55,892,992,939.74/354,441.72
  6. Step 6: Final answer
    x = 157,693.04

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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.