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Finding the Fourth Proportional to 284,141.43, 425,533.37 and 157,467.42

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Solution

The fourth proportional to 284,141.43, 425,533.37 and 157,467.42 is: 235,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,141.43 : 425,533.37 = 157,467.42 : x
  2. Step 2: Convert to fraction form
    284,141.43/425,533.37 = 157,467.42/x
  3. Step 3: Cross multiply
    284,141.43x = 425,533.37 × 157,467.42
  4. Step 4: Simplify right side
    284,141.43x = 67,007,641,110.47
  5. Step 5: Solve for x
    x = 67,007,641,110.47/284,141.43
  6. Step 6: Final answer
    x = 235,824.96

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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.