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Finding the Fourth Proportional to 216,416.40, 324,624.60 and 133,357.20

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Solution

The fourth proportional to 216,416.40, 324,624.60 and 133,357.20 is: 200,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,416.40 : 324,624.60 = 133,357.20 : x
  2. Step 2: Convert to fraction form
    216,416.40/324,624.60 = 133,357.20/x
  3. Step 3: Cross multiply
    216,416.40x = 324,624.60 × 133,357.20
  4. Step 4: Simplify right side
    216,416.40x = 43,291,027,707.12
  5. Step 5: Solve for x
    x = 43,291,027,707.12/216,416.40
  6. Step 6: Final answer
    x = 200,035.80

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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.