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Finding the Fourth Proportional to 255,936.70, 384,196.65 and 150,814.90

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Solution

The fourth proportional to 255,936.70, 384,196.65 and 150,814.90 is: 226,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,936.70 : 384,196.65 = 150,814.90 : x
  2. Step 2: Convert to fraction form
    255,936.70/384,196.65 = 150,814.90/x
  3. Step 3: Cross multiply
    255,936.70x = 384,196.65 × 150,814.90
  4. Step 4: Simplify right side
    255,936.70x = 57,942,579,350.09
  5. Step 5: Solve for x
    x = 57,942,579,350.09/255,936.70
  6. Step 6: Final answer
    x = 226,394.18

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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.