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Finding the Fourth Proportional to 284,356.98, 426,207.42 and 106,750.71

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Solution

The fourth proportional to 284,356.98, 426,207.42 and 106,750.71 is: 160,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.98 : 426,207.42 = 106,750.71 : x
  2. Step 2: Convert to fraction form
    284,356.98/426,207.42 = 106,750.71/x
  3. Step 3: Cross multiply
    284,356.98x = 426,207.42 × 106,750.71
  4. Step 4: Simplify right side
    284,356.98x = 45,497,944,692.27
  5. Step 5: Solve for x
    x = 45,497,944,692.27/284,356.98
  6. Step 6: Final answer
    x = 160,002.91

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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.