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Finding the Fourth Proportional to 136,422.40, 204,662.40 and 41,644.80

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Solution

The fourth proportional to 136,422.40, 204,662.40 and 41,644.80 is: 62,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,422.40 : 204,662.40 = 41,644.80 : x
  2. Step 2: Convert to fraction form
    136,422.40/204,662.40 = 41,644.80/x
  3. Step 3: Cross multiply
    136,422.40x = 204,662.40 × 41,644.80
  4. Step 4: Simplify right side
    136,422.40x = 8,523,124,715.52
  5. Step 5: Solve for x
    x = 8,523,124,715.52/136,422.40
  6. Step 6: Final answer
    x = 62,475.99

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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.