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Finding the Fourth Proportional to 284,205.20, 426,502.20 and 157,845.20

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Solution

The fourth proportional to 284,205.20, 426,502.20 and 157,845.20 is: 236,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,205.20 : 426,502.20 = 157,845.20 : x
  2. Step 2: Convert to fraction form
    284,205.20/426,502.20 = 157,845.20/x
  3. Step 3: Cross multiply
    284,205.20x = 426,502.20 × 157,845.20
  4. Step 4: Simplify right side
    284,205.20x = 67,321,325,059.44
  5. Step 5: Solve for x
    x = 67,321,325,059.44/284,205.20
  6. Step 6: Final answer
    x = 236,875.77

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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.