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Finding the Fourth Proportional to 296,951.89, 409,643.21 and 187,873.21

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Solution

The fourth proportional to 296,951.89, 409,643.21 and 187,873.21 is: 259,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,951.89 : 409,643.21 = 187,873.21 : x
  2. Step 2: Convert to fraction form
    296,951.89/409,643.21 = 187,873.21/x
  3. Step 3: Cross multiply
    296,951.89x = 409,643.21 × 187,873.21
  4. Step 4: Simplify right side
    296,951.89x = 76,960,984,958.88
  5. Step 5: Solve for x
    x = 76,960,984,958.88/296,951.89
  6. Step 6: Final answer
    x = 259,169.88

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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.