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Finding the Fourth Proportional to 215,952.84, 298,021.23 and 120,457.47

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Solution

The fourth proportional to 215,952.84, 298,021.23 and 120,457.47 is: 166,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,952.84 : 298,021.23 = 120,457.47 : x
  2. Step 2: Convert to fraction form
    215,952.84/298,021.23 = 120,457.47/x
  3. Step 3: Cross multiply
    215,952.84x = 298,021.23 × 120,457.47
  4. Step 4: Simplify right side
    215,952.84x = 35,898,883,372.09
  5. Step 5: Solve for x
    x = 35,898,883,372.09/215,952.84
  6. Step 6: Final answer
    x = 166,234.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.