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Finding the Fourth Proportional to 120,204.30, 180,322.65 and 41,342.70

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Solution

The fourth proportional to 120,204.30, 180,322.65 and 41,342.70 is: 62,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204.30 : 180,322.65 = 41,342.70 : x
  2. Step 2: Convert to fraction form
    120,204.30/180,322.65 = 41,342.70/x
  3. Step 3: Cross multiply
    120,204.30x = 180,322.65 × 41,342.70
  4. Step 4: Simplify right side
    120,204.30x = 7,455,025,222.16
  5. Step 5: Solve for x
    x = 7,455,025,222.16/120,204.30
  6. Step 6: Final answer
    x = 62,019.62

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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.