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Finding the Fourth Proportional to 120,572.64, 180,863.28 and 50,355.36

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Solution

The fourth proportional to 120,572.64, 180,863.28 and 50,355.36 is: 75,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,572.64 : 180,863.28 = 50,355.36 : x
  2. Step 2: Convert to fraction form
    120,572.64/180,863.28 = 50,355.36/x
  3. Step 3: Cross multiply
    120,572.64x = 180,863.28 × 50,355.36
  4. Step 4: Simplify right side
    120,572.64x = 9,107,435,575.18
  5. Step 5: Solve for x
    x = 9,107,435,575.18/120,572.64
  6. Step 6: Final answer
    x = 75,534.84

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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.