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Finding the Fourth Proportional to 251,742.60, 378,051.30 and 133,644.60

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Solution

The fourth proportional to 251,742.60, 378,051.30 and 133,644.60 is: 200,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,742.60 : 378,051.30 = 133,644.60 : x
  2. Step 2: Convert to fraction form
    251,742.60/378,051.30 = 133,644.60/x
  3. Step 3: Cross multiply
    251,742.60x = 378,051.30 × 133,644.60
  4. Step 4: Simplify right side
    251,742.60x = 50,524,514,767.98
  5. Step 5: Solve for x
    x = 50,524,514,767.98/251,742.60
  6. Step 6: Final answer
    x = 200,699.11

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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.