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Finding the Fourth Proportional to 214,564.42, 321,846.90 and 74,323.03

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Solution

The fourth proportional to 214,564.42, 321,846.90 and 74,323.03 is: 111,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,564.42 : 321,846.90 = 74,323.03 : x
  2. Step 2: Convert to fraction form
    214,564.42/321,846.90 = 74,323.03/x
  3. Step 3: Cross multiply
    214,564.42x = 321,846.90 × 74,323.03
  4. Step 4: Simplify right side
    214,564.42x = 23,920,636,804.11
  5. Step 5: Solve for x
    x = 23,920,636,804.11/214,564.42
  6. Step 6: Final answer
    x = 111,484.64

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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.