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Finding the Fourth Proportional to 272,797.62, 409,196.46 and 83,259

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Solution

The fourth proportional to 272,797.62, 409,196.46 and 83,259 is: 124,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,797.62 : 409,196.46 = 83,259 : x
  2. Step 2: Convert to fraction form
    272,797.62/409,196.46 = 83,259/x
  3. Step 3: Cross multiply
    272,797.62x = 409,196.46 × 83,259
  4. Step 4: Simplify right side
    272,797.62x = 34,069,288,063.14
  5. Step 5: Solve for x
    x = 34,069,288,063.14/272,797.62
  6. Step 6: Final answer
    x = 124,888.51

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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.