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Finding the Fourth Proportional to 272,797.75, 409,257.68 and 83,274.96

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Solution

The fourth proportional to 272,797.75, 409,257.68 and 83,274.96 is: 124,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,797.75 : 409,257.68 = 83,274.96 : x
  2. Step 2: Convert to fraction form
    272,797.75/409,257.68 = 83,274.96/x
  3. Step 3: Cross multiply
    272,797.75x = 409,257.68 × 83,274.96
  4. Step 4: Simplify right side
    272,797.75x = 34,080,916,931.69
  5. Step 5: Solve for x
    x = 34,080,916,931.69/272,797.75
  6. Step 6: Final answer
    x = 124,931.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.