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Finding the Fourth Proportional to 269,419.50, 371,814.57 and 148,586.49

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Solution

The fourth proportional to 269,419.50, 371,814.57 and 148,586.49 is: 205,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,419.50 : 371,814.57 = 148,586.49 : x
  2. Step 2: Convert to fraction form
    269,419.50/371,814.57 = 148,586.49/x
  3. Step 3: Cross multiply
    269,419.50x = 371,814.57 × 148,586.49
  4. Step 4: Simplify right side
    269,419.50x = 55,246,621,887.16
  5. Step 5: Solve for x
    x = 55,246,621,887.16/269,419.50
  6. Step 6: Final answer
    x = 205,057.99

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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.