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Finding the Fourth Proportional to 267,715.37, 369,457.44 and 146,861.75

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Solution

The fourth proportional to 267,715.37, 369,457.44 and 146,861.75 is: 202,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,715.37 : 369,457.44 = 146,861.75 : x
  2. Step 2: Convert to fraction form
    267,715.37/369,457.44 = 146,861.75/x
  3. Step 3: Cross multiply
    267,715.37x = 369,457.44 × 146,861.75
  4. Step 4: Simplify right side
    267,715.37x = 54,259,166,188.92
  5. Step 5: Solve for x
    x = 54,259,166,188.92/267,715.37
  6. Step 6: Final answer
    x = 202,674.83

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Why These Related Problems?

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