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Finding the Fourth Proportional to 120,577.38, 180,853.26 and 49,507.50

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Solution

The fourth proportional to 120,577.38, 180,853.26 and 49,507.50 is: 74,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,577.38 : 180,853.26 = 49,507.50 : x
  2. Step 2: Convert to fraction form
    120,577.38/180,853.26 = 49,507.50/x
  3. Step 3: Cross multiply
    120,577.38x = 180,853.26 × 49,507.50
  4. Step 4: Simplify right side
    120,577.38x = 8,953,592,769.45
  5. Step 5: Solve for x
    x = 8,953,592,769.45/120,577.38
  6. Step 6: Final answer
    x = 74,255.99

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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.