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Finding the Fourth Proportional to 284,093.16, 426,028.96 and 106,503.24

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Solution

The fourth proportional to 284,093.16, 426,028.96 and 106,503.24 is: 159,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,093.16 : 426,028.96 = 106,503.24 : x
  2. Step 2: Convert to fraction form
    284,093.16/426,028.96 = 106,503.24/x
  3. Step 3: Cross multiply
    284,093.16x = 426,028.96 × 106,503.24
  4. Step 4: Simplify right side
    284,093.16x = 45,373,464,573.83
  5. Step 5: Solve for x
    x = 45,373,464,573.83/284,093.16
  6. Step 6: Final answer
    x = 159,713.33

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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.