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Finding the Fourth Proportional to 120,465.36, 180,610.36 and 50,364.56

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Solution

The fourth proportional to 120,465.36, 180,610.36 and 50,364.56 is: 75,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,465.36 : 180,610.36 = 50,364.56 : x
  2. Step 2: Convert to fraction form
    120,465.36/180,610.36 = 50,364.56/x
  3. Step 3: Cross multiply
    120,465.36x = 180,610.36 × 50,364.56
  4. Step 4: Simplify right side
    120,465.36x = 9,096,361,312.84
  5. Step 5: Solve for x
    x = 9,096,361,312.84/120,465.36
  6. Step 6: Final answer
    x = 75,510.18

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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.