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Finding the Fourth Proportional to 284,245.94, 426,143.98 and 106,733.18

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Solution

The fourth proportional to 284,245.94, 426,143.98 and 106,733.18 is: 160,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,245.94 : 426,143.98 = 106,733.18 : x
  2. Step 2: Convert to fraction form
    284,245.94/426,143.98 = 106,733.18/x
  3. Step 3: Cross multiply
    284,245.94x = 426,143.98 × 106,733.18
  4. Step 4: Simplify right side
    284,245.94x = 45,483,702,123.26
  5. Step 5: Solve for x
    x = 45,483,702,123.26/284,245.94
  6. Step 6: Final answer
    x = 160,015.31

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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.