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Finding the Fourth Proportional to 284,374.80, 426,234.10 and 106,768.52

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Solution

The fourth proportional to 284,374.80, 426,234.10 and 106,768.52 is: 160,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,374.80 : 426,234.10 = 106,768.52 : x
  2. Step 2: Convert to fraction form
    284,374.80/426,234.10 = 106,768.52/x
  3. Step 3: Cross multiply
    284,374.80x = 426,234.10 × 106,768.52
  4. Step 4: Simplify right side
    284,374.80x = 45,508,384,030.53
  5. Step 5: Solve for x
    x = 45,508,384,030.53/284,374.80
  6. Step 6: Final answer
    x = 160,029.59

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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.