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Finding the Fourth Proportional to 284,093.36, 426,029.34 and 106,503.50

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Solution

The fourth proportional to 284,093.36, 426,029.34 and 106,503.50 is: 159,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,093.36 : 426,029.34 = 106,503.50 : x
  2. Step 2: Convert to fraction form
    284,093.36/426,029.34 = 106,503.50/x
  3. Step 3: Cross multiply
    284,093.36x = 426,029.34 × 106,503.50
  4. Step 4: Simplify right side
    284,093.36x = 45,373,615,812.69
  5. Step 5: Solve for x
    x = 45,373,615,812.69/284,093.36
  6. Step 6: Final answer
    x = 159,713.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.