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Finding the Fourth Proportional to 149,563.50, 224,493.04 and 65,381.77

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Solution

The fourth proportional to 149,563.50, 224,493.04 and 65,381.77 is: 98,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.50 : 224,493.04 = 65,381.77 : x
  2. Step 2: Convert to fraction form
    149,563.50/224,493.04 = 65,381.77/x
  3. Step 3: Cross multiply
    149,563.50x = 224,493.04 × 65,381.77
  4. Step 4: Simplify right side
    149,563.50x = 14,677,751,021.96
  5. Step 5: Solve for x
    x = 14,677,751,021.96/149,563.50
  6. Step 6: Final answer
    x = 98,137.26

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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.