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Finding the Fourth Proportional to 284,467.52, 426,793.44 and 136,735.04

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Solution

The fourth proportional to 284,467.52, 426,793.44 and 136,735.04 is: 205,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,467.52 : 426,793.44 = 136,735.04 : x
  2. Step 2: Convert to fraction form
    284,467.52/426,793.44 = 136,735.04/x
  3. Step 3: Cross multiply
    284,467.52x = 426,793.44 × 136,735.04
  4. Step 4: Simplify right side
    284,467.52x = 58,357,618,090.14
  5. Step 5: Solve for x
    x = 58,357,618,090.14/284,467.52
  6. Step 6: Final answer
    x = 205,146.86

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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.