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Finding the Fourth Proportional to 120,157.56, 180,248.49 and 41,261.13

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Solution

The fourth proportional to 120,157.56, 180,248.49 and 41,261.13 is: 61,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.56 : 180,248.49 = 41,261.13 : x
  2. Step 2: Convert to fraction form
    120,157.56/180,248.49 = 41,261.13/x
  3. Step 3: Cross multiply
    120,157.56x = 180,248.49 × 41,261.13
  4. Step 4: Simplify right side
    120,157.56x = 7,437,256,378.19
  5. Step 5: Solve for x
    x = 7,437,256,378.19/120,157.56
  6. Step 6: Final answer
    x = 61,895.87

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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.