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Finding the Fourth Proportional to 214,601.80, 321,902.74 and 56,842.60

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Solution

The fourth proportional to 214,601.80, 321,902.74 and 56,842.60 is: 85,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,601.80 : 321,902.74 = 56,842.60 : x
  2. Step 2: Convert to fraction form
    214,601.80/321,902.74 = 56,842.60/x
  3. Step 3: Cross multiply
    214,601.80x = 321,902.74 × 56,842.60
  4. Step 4: Simplify right side
    214,601.80x = 18,297,788,688.72
  5. Step 5: Solve for x
    x = 18,297,788,688.72/214,601.80
  6. Step 6: Final answer
    x = 85,263.91

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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.