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Finding the Fourth Proportional to 284,135.43, 425,524.32 and 157,461.42

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Solution

The fourth proportional to 284,135.43, 425,524.32 and 157,461.42 is: 235,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,135.43 : 425,524.32 = 157,461.42 : x
  2. Step 2: Convert to fraction form
    284,135.43/425,524.32 = 157,461.42/x
  3. Step 3: Cross multiply
    284,135.43x = 425,524.32 × 157,461.42
  4. Step 4: Simplify right side
    284,135.43x = 67,003,663,671.73
  5. Step 5: Solve for x
    x = 67,003,663,671.73/284,135.43
  6. Step 6: Final answer
    x = 235,815.94

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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.