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Finding the Fourth Proportional to 149,563.87, 224,493.60 and 65,382.14

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Solution

The fourth proportional to 149,563.87, 224,493.60 and 65,382.14 is: 98,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.87 : 224,493.60 = 65,382.14 : x
  2. Step 2: Convert to fraction form
    149,563.87/224,493.60 = 65,382.14/x
  3. Step 3: Cross multiply
    149,563.87x = 224,493.60 × 65,382.14
  4. Step 4: Simplify right side
    149,563.87x = 14,677,871,984.30
  5. Step 5: Solve for x
    x = 14,677,871,984.30/149,563.87
  6. Step 6: Final answer
    x = 98,137.82

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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.