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Finding the Fourth Proportional to 214,624.54, 321,739.71 and 74,285.02

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Solution

The fourth proportional to 214,624.54, 321,739.71 and 74,285.02 is: 111,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,624.54 : 321,739.71 = 74,285.02 : x
  2. Step 2: Convert to fraction form
    214,624.54/321,739.71 = 74,285.02/x
  3. Step 3: Cross multiply
    214,624.54x = 321,739.71 × 74,285.02
  4. Step 4: Simplify right side
    214,624.54x = 23,900,440,792.14
  5. Step 5: Solve for x
    x = 23,900,440,792.14/214,624.54
  6. Step 6: Final answer
    x = 111,359.31

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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.