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Finding the Fourth Proportional to 180,416.60, 270,438.02 and 148,491.21

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Solution

The fourth proportional to 180,416.60, 270,438.02 and 148,491.21 is: 222,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,416.60 : 270,438.02 = 148,491.21 : x
  2. Step 2: Convert to fraction form
    180,416.60/270,438.02 = 148,491.21/x
  3. Step 3: Cross multiply
    180,416.60x = 270,438.02 × 148,491.21
  4. Step 4: Simplify right side
    180,416.60x = 40,157,668,819.80
  5. Step 5: Solve for x
    x = 40,157,668,819.80/180,416.60
  6. Step 6: Final answer
    x = 222,583.01

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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.