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Finding the Fourth Proportional to 120,129.60, 180,284.16 and 45,323.52

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Solution

The fourth proportional to 120,129.60, 180,284.16 and 45,323.52 is: 68,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.60 : 180,284.16 = 45,323.52 : x
  2. Step 2: Convert to fraction form
    120,129.60/180,284.16 = 45,323.52/x
  3. Step 3: Cross multiply
    120,129.60x = 180,284.16 × 45,323.52
  4. Step 4: Simplify right side
    120,129.60x = 8,171,112,731.44
  5. Step 5: Solve for x
    x = 8,171,112,731.44/120,129.60
  6. Step 6: Final answer
    x = 68,019.15

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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.