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Finding the Fourth Proportional to 120,416.60, 180,626.72 and 45,572

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Solution

The fourth proportional to 120,416.60, 180,626.72 and 45,572 is: 68,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,416.60 : 180,626.72 = 45,572 : x
  2. Step 2: Convert to fraction form
    120,416.60/180,626.72 = 45,572/x
  3. Step 3: Cross multiply
    120,416.60x = 180,626.72 × 45,572
  4. Step 4: Simplify right side
    120,416.60x = 8,231,520,883.84
  5. Step 5: Solve for x
    x = 8,231,520,883.84/120,416.60
  6. Step 6: Final answer
    x = 68,358.69

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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.