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Finding the Fourth Proportional to 149,189.49, 223,713.77 and 54,353.30

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Solution

The fourth proportional to 149,189.49, 223,713.77 and 54,353.30 is: 81,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,189.49 : 223,713.77 = 54,353.30 : x
  2. Step 2: Convert to fraction form
    149,189.49/223,713.77 = 54,353.30/x
  3. Step 3: Cross multiply
    149,189.49x = 223,713.77 × 54,353.30
  4. Step 4: Simplify right side
    149,189.49x = 12,159,580,264.61
  5. Step 5: Solve for x
    x = 12,159,580,264.61/149,189.49
  6. Step 6: Final answer
    x = 81,504.27

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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.