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Finding the Fourth Proportional to 284,372.55, 426,230.73 and 106,766.28

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Solution

The fourth proportional to 284,372.55, 426,230.73 and 106,766.28 is: 160,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,372.55 : 426,230.73 = 106,766.28 : x
  2. Step 2: Convert to fraction form
    284,372.55/426,230.73 = 106,766.28/x
  3. Step 3: Cross multiply
    284,372.55x = 426,230.73 × 106,766.28
  4. Step 4: Simplify right side
    284,372.55x = 45,507,069,463.78
  5. Step 5: Solve for x
    x = 45,507,069,463.78/284,372.55
  6. Step 6: Final answer
    x = 160,026.24

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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.