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Finding the Fourth Proportional to 218,504.32, 327,762.96 and 85,379.20

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Solution

The fourth proportional to 218,504.32, 327,762.96 and 85,379.20 is: 128,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,504.32 : 327,762.96 = 85,379.20 : x
  2. Step 2: Convert to fraction form
    218,504.32/327,762.96 = 85,379.20/x
  3. Step 3: Cross multiply
    218,504.32x = 327,762.96 × 85,379.20
  4. Step 4: Simplify right side
    218,504.32x = 27,984,139,314.43
  5. Step 5: Solve for x
    x = 27,984,139,314.43/218,504.32
  6. Step 6: Final answer
    x = 128,071.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.