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Finding the Fourth Proportional to 214,588.68, 321,810.12 and 74,314.50

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Solution

The fourth proportional to 214,588.68, 321,810.12 and 74,314.50 is: 111,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,588.68 : 321,810.12 = 74,314.50 : x
  2. Step 2: Convert to fraction form
    214,588.68/321,810.12 = 74,314.50/x
  3. Step 3: Cross multiply
    214,588.68x = 321,810.12 × 74,314.50
  4. Step 4: Simplify right side
    214,588.68x = 23,915,158,162.74
  5. Step 5: Solve for x
    x = 23,915,158,162.74/214,588.68
  6. Step 6: Final answer
    x = 111,446.50

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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.