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Finding the Fourth Proportional to 272,846.59, 409,250.82 and 102,035.80

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Solution

The fourth proportional to 272,846.59, 409,250.82 and 102,035.80 is: 153,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,846.59 : 409,250.82 = 102,035.80 : x
  2. Step 2: Convert to fraction form
    272,846.59/409,250.82 = 102,035.80/x
  3. Step 3: Cross multiply
    272,846.59x = 409,250.82 × 102,035.80
  4. Step 4: Simplify right side
    272,846.59x = 41,758,232,773.10
  5. Step 5: Solve for x
    x = 41,758,232,773.10/272,846.59
  6. Step 6: Final answer
    x = 153,046.56

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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.