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Finding the Fourth Proportional to 149,676, 224,184.40 and 123,735.84

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Solution

The fourth proportional to 149,676, 224,184.40 and 123,735.84 is: 185,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676 : 224,184.40 = 123,735.84 : x
  2. Step 2: Convert to fraction form
    149,676/224,184.40 = 123,735.84/x
  3. Step 3: Cross multiply
    149,676x = 224,184.40 × 123,735.84
  4. Step 4: Simplify right side
    149,676x = 27,739,645,048.90
  5. Step 5: Solve for x
    x = 27,739,645,048.90/149,676
  6. Step 6: Final answer
    x = 185,331.28

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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.