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Finding the Fourth Proportional to 120,089.16, 180,106.32 and 45,217.20

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Solution

The fourth proportional to 120,089.16, 180,106.32 and 45,217.20 is: 67,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,089.16 : 180,106.32 = 45,217.20 : x
  2. Step 2: Convert to fraction form
    120,089.16/180,106.32 = 45,217.20/x
  3. Step 3: Cross multiply
    120,089.16x = 180,106.32 × 45,217.20
  4. Step 4: Simplify right side
    120,089.16x = 8,143,903,492.70
  5. Step 5: Solve for x
    x = 8,143,903,492.70/120,089.16
  6. Step 6: Final answer
    x = 67,815.48

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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.