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Finding the Fourth Proportional to 136,311.80, 204,467.70 and 37,815.80

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Solution

The fourth proportional to 136,311.80, 204,467.70 and 37,815.80 is: 56,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311.80 : 204,467.70 = 37,815.80 : x
  2. Step 2: Convert to fraction form
    136,311.80/204,467.70 = 37,815.80/x
  3. Step 3: Cross multiply
    136,311.80x = 204,467.70 × 37,815.80
  4. Step 4: Simplify right side
    136,311.80x = 7,732,109,649.66
  5. Step 5: Solve for x
    x = 7,732,109,649.66/136,311.80
  6. Step 6: Final answer
    x = 56,723.70

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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.