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Finding the Fourth Proportional to 261,912.50, 361,422.24 and 154,457.90

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Solution

The fourth proportional to 261,912.50, 361,422.24 and 154,457.90 is: 213,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,912.50 : 361,422.24 = 154,457.90 : x
  2. Step 2: Convert to fraction form
    261,912.50/361,422.24 = 154,457.90/x
  3. Step 3: Cross multiply
    261,912.50x = 361,422.24 × 154,457.90
  4. Step 4: Simplify right side
    261,912.50x = 55,824,520,203.70
  5. Step 5: Solve for x
    x = 55,824,520,203.70/261,912.50
  6. Step 6: Final answer
    x = 213,141.87

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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.